2. The HCF and LCM of two numbers are 7 and 42, respectively. One of the numbers is 14.
Find the other number.
3. The product of two numbers is 950. Their LCM is 38. Find their HCF.
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1) The HCF and LCM of two numbers are 7 and 42, respectively. One of the numbers is 14. Find the other number.
Here,
HCF of two numbers = 7
LCM of two numbers = 42
One of the number 14
We know that,
★ LCM × HCF = product of two numbers
Therefore, Putting values,
➯ 7 × 42 = 14 × second number
➯ 294 = 14 × second number
➯ second number = 294/14
➯ second number = 21
∴ The other number is 21.
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2) The product of two numbers is 950. Their LCM is 38. Find their HCF.
Here,
Product of two number = 950
LCM of two numbers = 38
Again,
★ LCM × HCF = product of two numbers
Putting values,
➯ 38 × HCF = 950
➯ HCF = 950/38
➯ HCF = 25
∴ The HCF of two numbers is 25.
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