Question

find the HCF of 85 and 480 using prime factrisation method​

Answer 1

Step-by-step explanation:

Find the prime factorization of 85

85 = 5 × 17

Find the prime factorization of 480

480 = 2 × 2 × 2 × 2 × 2 × 3 × 5

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 5

Answer 2

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★ Find the HCF of 85 and 480 using prime factrisation method.

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__5_|__85__

__17_|__17__

_1__|___1___

85 = 5 × 17 × 1

__5_|__480__

__2_|___96__

__2_|___48__

_2__|__24___

__2_|___12__

__2_|____6__

_3__|____3___

480 = 5 × 2 × 2 × 2 × 2 × 2 × 3

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85 = 5 × 17 × 1

480 = 5 × 2 × 2 × 2 × 2 × 2 × 3

➝ The HCF of 85 and 480 is 5 .

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