Math Drills
Common Divisors and Greatest Common Divisor
D-2Word Problems (Using the GCD)
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What this worksheet covers
- Worksheet
- Common Divisors and Greatest Common Divisor
Questions writing out the divisors two numbers share, and questions finding the largest among them, stand side by side as Calculation. The Word Problems, which share out fruit or stationery of two kinds with nothing left over, call for the same operation.
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Some of the sharing questions ask for the number of people once one person is set aside. Papers add the 1 that is a perfectly good divisor, so a 1 left in the row of answers means the instruction to set someone aside went unread. In a bare question, 1 is a correct answer.
The row written out for a single number in Divisors and Multiples (Listing) is here brought together in twos to hunt for the overlap. Common Multiples and Least Common Multiple hunts for that overlap on the side of multiples.
- Using the Greatest Common Divisor5 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Properties of Integers (Divisors and Multiples)”, shown with their answers.
(1)There are 28 oranges and 42 peaches. We want to find out how many people we can share the oranges and the peaches among, so that each person gets the same number of each with none left over. If we share them among as many people as possible, how many people will there be? Answer □
Answer: 14people
(2)There are 24 pencils and 36 erasers. We want to find out how many people we can share the pencils and the erasers among, so that each person gets the same number of each with none left over. If we share them among as many people as possible, how many people will there be? Answer □
Answer: 12people
(3)There are 20 cakes and 40 pies. We want to find out how many people we can share the cakes and the pies among, so that each person gets the same number of each with none left over. If we share them among as many people as possible, how many people will there be? Answer □
Answer: 20people
(4)There are 17 books and 34 erasers. We want to find out how many people we can share the books and the erasers among, so that each person gets the same number of each with none left over. If we share them among as many people as possible, how many people will there be? Answer □
Answer: 17people
(5)There are 21 ribbons and 42 ropes. We want to find out how many people we can share the ribbons and the ropes among, so that each person gets the same number of each with none left over. If we share them among as many people as possible, how many people will there be? Answer □
Answer: 21people
What to do next
More worksheets in this unit
Divisors and Multiples (Listing)Divisors and Multiples (Listing) Calculation (Multiples)
Common Divisors and Greatest Common DivisorCommon Divisors and Greatest Common Divisor Calculation (Listing Common Divisors)
Common Divisors and Greatest Common DivisorCommon Divisors and Greatest Common Divisor Calculation (Greatest Common Divisor)
Common Divisors and Greatest Common DivisorCommon Divisors and Greatest Common Divisor Word Problems (Common Divisors)
Common Multiples and Least Common MultipleCommon Multiples and Least Common Multiple Calculation (Listing Common Multiples)
Common Multiples and Least Common MultipleCommon Multiples and Least Common Multiple Calculation (Least Common Multiple)
Common Multiples and Least Common MultipleCommon Multiples and Least Common Multiple Word Problems (Using the LCM)
Properties of Integers (Divisors and Multiples) ReviewProperties of Integers (Divisors and Multiples) Review Calculation
Properties of Integers (Divisors and Multiples) ReviewProperties of Integers (Divisors and Multiples) Review Word Problems
