Form 10: Relationship between GCF and LCM
Explore and apply the mathematical relationship between the greatest common factor and least common multiple of numbers.
Questions
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MultiChoice
The GCF of two numbers is 6 and their product is 432. What is their LCM?
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MultiChoice
The LCM of two numbers is 24 and their product is 96. What is their GCF?
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MultiChoice
For any two positive integers a and b, what is GCF(a, b) * LCM(a, b) equal to?
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MultiChoice
If GCF(12, x) = 3 and LCM(12, x) = 60, what is x?
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MultiChoice
Two numbers are 15 and 20. What is GCF(15, 20) multiplied by LCM(15, 20)?
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MultiChoice
The product of two numbers is 250 and their LCM is 50. What is their GCF?
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MultiChoice
The GCF of two numbers is 7 and their product is 588. What is their LCM?
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MultiChoice
If GCF(8, x) = 8 and LCM(8, x) = 16, what is x?
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MultiChoice
For numbers 8 and 15, what is GCF(8, 15) * LCM(8, 15)?
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MultiChoice
The product of two numbers is 600 and their LCM is 60. What is their GCF?
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MultiChoice
The GCF of two numbers is 9 and their product is 1620. What is their LCM?
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MultiChoice
If GCF(10, x) = 5 and LCM(10, x) = 50, what is x?