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GCF of 77/57, 883/56, 377/267

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 77/57, 883/56, 377/267 i.e 1/284088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/57, 883/56, 377/267.

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 77/57,883/56,377/267?

Given fractions are 77/57,883/56,377/267

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 77/57,883/56,377/267, numerators are 77,883,377

Denominators are 57,56,267

The GCF of 77,883,377 is 1 .

LCM of 57,56,267 is 284088.

The greatest common factor of 77/57,883/56,377/267 = [GCF of 77,883,377]/[LCM of 57,56,267]= 1/284088

Therefore, the GCF of 77/57,883/56,377/267 is 1/284088.

Greatest Common Factor of 77,883,377

To find the highest common factor of 77,883,377, we have to find the factors of both numbers and list the highest common factor.

The factors of 77 are 1, 7, 11, 77

The factors of 883 are 1, 883

The factors of 377 are 1, 13, 29, 377

The HCF of 77,883,377 is 1.

Lets's calculate GCF of 77,883,377

Greatest Common Factor (GCF) of 77,883,377 By Common Division

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

Greatest Common Factor of 77,883,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,883,377 By Matching Biggest Common Factor Method

Now, list down the factors of 77

:

1,7,11,77

Now, list down the factors of 883

:

1,883

Now, list down the factors of 377

:

1,13,29,377

Greatest Common Factor

We found the factors 77,883,377 . The biggest common factor number is the GCF number.
So the greatest common factor 77,883,377 is 1.


Lets's calculate LCM of 57,56,267

Lowest Common Multiple of 57,56,267 using Common Division

3 57, 56, 267
19, 56, 89

∴ So the LCM of the given numbers is 3 x 19 x 56 x 89 = 284088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284088

Therefore, the GCF of Fractions 77/57,883/56,377/267 is 1/284088

Least Common Multiple of 57,56,267 with GCF Formula

Least Common Multiple of 57,56,267 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 57,56,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,56,267) = 1

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

GCF(57,56,267) x common factors =1 x 3 = 3

LCM(57,56,267) = ( 57 × 56 × 267 ) / 3

LCM(57,56,267) = 852264 / 3

LCM(57,56,267) = 284088


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 77/57, 883/56, 377/267

1. What is the HCF of 77,883,377?

The HCF of 77,883,377 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 77/57, 883/56, 377/267?

Answer: GCF of Numerators as per given numbers 77/57, 883/56, 377/267 is

GCF of Numerators i.e. for 77,883,377 is 1

LCM of denominators i.e. for 57,56,267 is 284088.

Thus, GCF of Fractions is 1/284088.Finally, GCF of Fractions for 77/57, 883/56, 377/267 is 1/284088.