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What is the relationship between HCF and LCM of two numbers a and b?
What is the relationship between HCF and LCM of two numbers a and b?
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Practice Questions
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Q1
What is the relationship between HCF and LCM of two numbers a and b?
HCF = a + b
HCF * LCM = a * b
HCF + LCM = a * b
HCF - LCM = a - b
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The relationship is HCF * LCM = a * b, which holds for any two integers a and b.
Questions & Step-by-step Solutions
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Q
Q: What is the relationship between HCF and LCM of two numbers a and b?
Solution:
The relationship is HCF * LCM = a * b, which holds for any two integers a and b.
Steps: 5
Show Steps
Step 1: Understand what HCF (Highest Common Factor) means. It is the largest number that divides both a and b without leaving a remainder.
Step 2: Understand what LCM (Lowest Common Multiple) means. It is the smallest number that both a and b can divide into without leaving a remainder.
Step 3: Know that for any two integers a and b, there is a special relationship between HCF and LCM.
Step 4: The relationship is expressed as: HCF * LCM = a * b.
Step 5: This means if you multiply the HCF of a and b by the LCM of a and b, you will get the product of a and b.
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