Question

HCF BY PRIME FACTORIZATION METHOD 32,48 AND 72​

Answer 1

Answer:

Step by Step Solution:

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Least Common Multiple is :

288

Calculate Least Common Multiple for :

32, 48 and 72

Factorize of the above numbers :

32 = 25

48 = 24 • 3

72 = 23 • 32

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

32 Number

48 Number

72 L.C.M

(max)

2 5 4 3 5

3 0 1 2 2

LCM = 25 • 32

Least Common Multiple is :

288

Answer 2

Answer:

Answer:

HCF(32,48,72) = 8

Step-by-step explanation:

We have ,

32 = 2×2×2×2×2 = 2^{5}2

5

48 = 2×2×2×2×3 = 2⁴×3¹

72 = 2×2×2×3×3 = 2³×3²

Now,

HCF(32,48,72) = 2³ = 8

/* Product of the smallest power of each common prime factors of the numbers */

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