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GCF of 371/267, 677/771

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 371/267, 677/771 i.e 1/68619 easily. The following is the detailed procedure to determine the greatest common factor of fractions 371/267, 677/771.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 371/267,677/771?

Given fractions are 371/267,677/771

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 371/267,677/771, numerators are 371,677

Denominators are 267,771

The GCF of 371,677 is 1 .

LCM of 267,771 is 68619.

The greatest common factor of 371/267,677/771 = [GCF of 371,677]/[LCM of 267,771]= 1/68619

Therefore, the GCF of 371/267,677/771 is 1/68619.

Greatest Common Factor of 371,677

To find the highest common factor of 371,677, we have to find the factors of both numbers and list the highest common factor.

The factors of 371 are 1, 7, 53, 371

The factors of 677 are 1, 677

The HCF of 371,677 is 1.

Lets's calculate GCF of 371,677

Greatest Common Factor (GCF) of 371,677 By Common Division

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

Greatest Common Factor of 371,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,677 By Matching Biggest Common Factor Method

Now, list down the factors of 371

:

1,7,53,371

Now, list down the factors of 677

:

1,677

Greatest Common Factor

We found the factors 371,677 . The biggest common factor number is the GCF number.
So the greatest common factor 371,677 is 1.

Lets's calculate LCM of 267,771

Lowest Common Multiple of 267,771 using Common Division

3 267, 771
89, 257

∴ So the LCM of the given numbers is 3 x 89 x 257 = 68619

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68619

Therefore, the GCF of Fractions 371/267,677/771 is 1/68619

Least Common Multiple of 267,771 with GCF Formula

Least Common Multiple of 267,771 with GCF Formula

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

We need to calculate greatest common factor of 267,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,771) = 3

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

GCF(267,771) x common factors =3 x 1 = 3

LCM(267,771) = ( 267 × 771 ) / 3

LCM(267,771) = 205857 / 3

LCM(267,771) = 68619


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FAQs on GCF of Fractions of 371/267, 677/771

1. What is the HCF of 371,677?

The HCF of 371,677 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 371/267, 677/771?

Answer: GCF of Numerators as per given numbers 371/267, 677/771 is

GCF of Numerators i.e. for 371,677 is 1

LCM of denominators i.e. for 267,771 is 68619.

Thus, GCF of Fractions is 1/68619.Finally, GCF of Fractions for 371/267, 677/771 is 1/68619.