Find the HCF of 95 and 152

Video Explanation

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Solution

Question: The HCF of 95 and 152 is:

(a) 57    (b) 1    (c) 19    (d) 38

Step 1: Prime Factorisation

95 = 5 × 19

152 = 2³ × 19

Step 2: Find the HCF

The HCF is the product of the common prime factors with the lowest powers.

Common prime factor = 19

Lowest power of 19 = 1

∴ HCF = 19

Final Answer

✔ Correct option: (c) 19

Conclusion

Thus, the HCF of 95 and 152 is 19.