Question
Download Solution PDFFind the HCF of 22 × 35 × 53, 24 × 32 × 5.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Find the HCF of 22 × 35 × 53, 24 × 32 × 5.
Formula used:
The HCF of two numbers is found by taking the lowest power of each prime factor common to both numbers.
Calculation:
Prime factorization:
Number 1: 22 × 35 × 53
Number 2: 24 × 32 × 5
Common prime factors and their lowest powers:
2: min(2, 4) = 2
3: min(5, 2) = 2
5: min(3, 1) = 1
HCF = 22 × 32 × 5
⇒ HCF = 4 × 9 × 5
⇒ HCF = 180
∴ The correct answer is option 3.
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