Math, asked by santosinipanigrahi37, 3 months ago

HCF of 90 and 105 in division method

Answers

Answered by shifaalam
9

Answer:

HCF of 90 and 105 is 15

HCF of 90 and 105 is the highest number that divides 90 and 105 exactly leaving the remainder 0.

Explanation:

We will use two methods to find the HCF of 90 and 105.

HCF of 90 and 105 by Prime Factorization

HCF of 90 and 105 by Listing the Common Factors

Method 1: Find HCF of 90 and 105 by Prime Factorization

Prime factorization of 90 is 2 × 3 × 3 × 5

Prime factorization of 105 is 3 × 5 × 7

The common factor in the prime factorization of 90 and 105 are 3 and 5.

HCF is the product of the factors that are common to each of the given numbers.

So, HCF of 906 and 690 is 3 × 5 = 15

Method 2: Find HCF of 90 and 105 by Listing the Common Factors

The factors of 90 and 105 are shown below.

HCF of 90 and 105

The common factors of 90 and 105 are 1, 3, 5 and 15.

The highest common factor of 90 and 105 is 15.

Answered by sumitphad14
0

Answer:

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