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Find the HCF of the numbers in each of the following, using the prime factorization method:72, 108, 180 - Mathematics

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प्रश्न

Find the HCF of the numbers in each of the following, using the prime factorization method:
72, 108, 180

योग

उत्तर

The given numbers are 72, 108 and 180
We have:

Now, 72=2 × 2 × 2 × 3 × 3 = 23 × 32
108 = 2 × 2 × 3 × 3 × 3 = 22 × 33
180 = 2 × 2 × 3 ×3 × 5 = 22 × 3× 5
∴ HCF =22×32 =36

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अध्याय 2: Factors and Multiples - Exercise 2D [पृष्ठ ३६]

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आरएस अग्रवाल Mathematics [English] Class 6
अध्याय 2 Factors and Multiples
Exercise 2D | Q 4 | पृष्ठ ३६

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