Question

find the Hcf of 48x⁵y² and 112x³y

Answer 1

Answer:

Prime factor of 5 = 5

Prime factor of 8 = 2\times2\times22×2×2

No common prime factor

HCF of 5 and 8 = 1

(ii) Prime factor of 24 = 2\times2\times2\times32×2×2×3

Prime factor of 49 =7\times77×7

No common prime factor, number are co-prime

HCF of 24 and 49 = 1

(iii) Prime factor of 40 = 2\times2\times2\times52×2×2×5

Prime factor of 60 = 2\times2\times3\times52×2×3×5

Prime factor of 80 = 2\times2\times2\times2\times52×2×2×2×5

Common prime factor = 2\times2\times52×2×5

HCF of 40 , 60 and 80 = 2\times2\times52×2×5 = 20

(iv) Prime factor of 48 =2\times2\times2\times2\times32×2×2×2×3

Prime factor of 84 =2\times2\times3\times72×2×3×7

Prime factor of 88 = 2\times2\times2\times112×2×2×11

Common prime factor of 48, 84 and 88 =2\times22×2

HCF of 48, 84 and 88 = 2\times22×2 = 4

(v) Prime factor of 12 =2\times2\times32×2×3

Prime factor of 16 = 2\times2\times2\times22×2×2×2

Prime factor of 28 = 2\times2\times72×2×7

Common prime factor between 12, 16 and 28 =2\times22×2

HCF of 12, 16 and 28 = 2\times22×2 = 4

Step-by-step explanation:

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Answer 2

Answer:

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