Math, asked by nanydas1027, 5 months ago

Find the hcf of 144 and 198 by using prime factirization

Answers

Answered by KananKushwaha
1

Answer:

HCF of 144 and 198 is 18.

Step-by-step explanation:

The largest number which divides the given two or more numbers exactly is known as Highest Common Factor.

HCF of 144 =2 \times 2 \times 2 \times 2 \times 3 \times 32×2×2×2×3×3

HCF of 198 =2 \times 3 \times 3 \times 112×3×3×11

HCF is highest common factor, hence consider the common terms in 144 and 198

HCF of 144 and 90 = \bold{3 \times 3 \times 2}3×3×2 =18

In given problem 18 is the HCF which divides the numbers 144 and 198 exactly.

Answered by 2797neil
1

Answer:

HCF = 2 ×  3 ×  3 = 18

Step-by-step explanation:

144 = 2 × 2 ×  2 ×  2 ×  3 ×  3

198 = 2 ×  3 ×  3 ×  11

HCF = 2 ×  3 ×  3 = 18

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