Find the HCF of 12- 45- 75 - Maths Q-A

Find HCF We, use the prime factorization methodprime factorization of 12 = 2× 2× 3prime factorization of 45 = 3× 3× 5prime factorization of75 = 5× 5× 3 So, HCF ...

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Standard X

Mathematics

Method of Finding HCF

Find the HCF ...

Question

Find the HCF of $12, 45, 75$

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Solution

Find HCF
We, use the prime factorization method
prime factorization of $12 = 2 \times 2 \times 3$
prime factorization of $45 = 3 \times 3 \times 5$
prime factorization of $75 = 5 \times 5 \times 3$
So, HCF = $3$
Hence, the required HCF is $3$ .

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Q. Simplify:

(\sqrt{75} - \sqrt{45}) (\sqrt{20} + \sqrt{12})

Find the HCF of the following numbers:

(a) 18, 48 (b) 30, 42 (c) 18, 60

(d) 27, 63 (e) 36, 84 (f) 34, 102

(g) 70, 105, 175 (h) 91, 112, 49 (i) 18, 54, 81

(j) 12, 45, 75

When we write the hcf of any integer in the form of linear combination, how it is written in this form3=75*13-81*12,while finding the hcf of 273&81

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Find the HCF of 12,45,75

Find HCF We, use the prime factorization methodprime factorization of 12=2×2×3prime factorization of 45=3×3×5prime factorization of75=5×5×3 So, HCF = 3Hence, the required HCF is3.

Find the HCF of $12, 45, 75$

Find HCF
We, use the prime factorization method
prime factorization of $12 = 2 \times 2 \times 3$
prime factorization of $45 = 3 \times 3 \times 5$
prime factorization of $75 = 5 \times 5 \times 3$
So, HCF = $3$
Hence, the required HCF is $3$ .