How to Find GCF of 24/71, 82/90, 653/767?

GCF of 24/71, 82/90, 653/767

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 24/71, 82/90, 653/767 i.e 1/4901130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/71, 82/90, 653/767.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 24/71,82/90,653/767?

Given fractions are 24/71,82/90,653/767

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 24/71,82/90,653/767, numerators are 24,82,653

Denominators are 71,90,767

The GCF of 24,82,653 is 1 .

LCM of 71,90,767 is 4901130.

The greatest common factor of 24/71,82/90,653/767 = [GCF of 24,82,653]/[LCM of 71,90,767]= 1/4901130

Therefore, the GCF of 24/71,82/90,653/767 is 1/4901130.

Greatest Common Factor of 24,82,653

To find the highest common factor of 24,82,653, we have to find the factors of both numbers and list the highest common factor.

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

The factors of 82 are 1, 2, 41, 82

The factors of 653 are 1, 653

The HCF of 24,82,653 is 1.

Lets's calculate GCF of 24,82,653

Greatest Common Factor (GCF) of 24,82,653 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 24,82,653 By Matching Biggest Common Factor Method

Now, list down the factors of 24

1,2,3,4,6,8,12,24

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 653

1,653

Greatest Common Factor

We found the factors 24,82,653 . The biggest common factor number is the GCF number.
So the greatest common factor 24,82,653 is 1.

Lets's calculate LCM of 71,90,767

Lowest Common Multiple of 71,90,767 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4901130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4901130

Therefore, the GCF of Fractions 24/71,82/90,653/767 is 1/4901130

Least Common Multiple of 71,90,767 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 71,90,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,90,767) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(71,90,767) x common factors =1 x 1 = 1

LCM(71,90,767) = ( 71 × 90 × 767 ) / 1

LCM(71,90,767) = 4901130 / 1

LCM(71,90,767) = 4901130

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FAQs on GCF of Fractions of 24/71, 82/90, 653/767

1. What is the HCF of 24,82,653?

The HCF of 24,82,653 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 24/71, 82/90, 653/767?

Answer: GCF of Numerators as per given numbers 24/71, 82/90, 653/767 is

GCF of Numerators i.e. for 24,82,653 is 1

LCM of denominators i.e. for 71,90,767 is 4901130.

Thus, GCF of Fractions is 1/4901130.Finally, GCF of Fractions for 24/71, 82/90, 653/767 is 1/4901130.