How to Find GCF of 31/681, 82/131, 771/687?

GCF of 31/681, 82/131, 771/687

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 31/681, 82/131, 771/687 i.e 1/20429319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 31/681, 82/131, 771/687.

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 31/681,82/131,771/687?

Given fractions are 31/681,82/131,771/687

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 31/681,82/131,771/687, numerators are 31,82,771

Denominators are 681,131,687

The GCF of 31,82,771 is 1 .

LCM of 681,131,687 is 20429319.

The greatest common factor of 31/681,82/131,771/687 = [GCF of 31,82,771]/[LCM of 681,131,687]= 1/20429319

Therefore, the GCF of 31/681,82/131,771/687 is 1/20429319.

Greatest Common Factor of 31,82,771

To find the highest common factor of 31,82,771, we have to find the factors of both numbers and list the highest common factor.

The factors of 31 are 1, 31

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

The factors of 771 are 1, 3, 257, 771

The HCF of 31,82,771 is 1.

Lets's calculate GCF of 31,82,771

Greatest Common Factor (GCF) of 31,82,771 By Common Division

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

Greatest Common Factor of 31,82,771 By Matching Biggest Common Factor Method

Now, list down the factors of 31

1,31

Now, list down the factors of 82

1,2,41,82

Now, list down the factors of 771

1,3,257,771

Greatest Common Factor

We found the factors 31,82,771 . The biggest common factor number is the GCF number.
So the greatest common factor 31,82,771 is 1.

Lets's calculate LCM of 681,131,687

Lowest Common Multiple of 681,131,687 using Common Division

3	681, 131, 687
	227, 131, 229

∴ So the LCM of the given numbers is 3 x 227 x 131 x 229 = 20429319

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20429319

Therefore, the GCF of Fractions 31/681,82/131,771/687 is 1/20429319

Least Common Multiple of 681,131,687 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 681,131,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,131,687) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(681,131,687) x common factors =1 x 3 = 3

LCM(681,131,687) = ( 681 × 131 × 687 ) / 3

LCM(681,131,687) = 61287957 / 3

LCM(681,131,687) = 20429319

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 31/681, 82/131, 771/687

1. What is the HCF of 31,82,771?

The HCF of 31,82,771 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 31/681, 82/131, 771/687?

Answer: GCF of Numerators as per given numbers 31/681, 82/131, 771/687 is

GCF of Numerators i.e. for 31,82,771 is 1

LCM of denominators i.e. for 681,131,687 is 20429319.

Thus, GCF of Fractions is 1/20429319.Finally, GCF of Fractions for 31/681, 82/131, 771/687 is 1/20429319.