Greatest Common Factor of 77/322, 237/714, 876/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/322, 237/714, 876/377

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 77/322,237/714,876/377

Given fractions are 77/322,237/714,876/377

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 77,237,876

Greatest Common Factor of Numerators i.e. GCF of 77,237,876 is 1 .

LCM of Denominators means LCM of 322,714,377 as per the given fractions.

LCM of 322,714,377 is 6191094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,237,876

GCF of Fractions 77/322,237/714,876/377 is 1/6191094

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

Greatest Common Factor of 77,237,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,237,876 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Greatest Common Factor

We found the factors 77,237,876 . The biggest common factor number is the GCF number.
So the greatest common factor 77,237,876 is 1.

Lets's calculate LCM of 322,714,377

2 322, 714, 377
7 161, 357, 377
23, 51, 377

∴ So the LCM of the given numbers is 2 x 7 x 23 x 51 x 377 = 6191094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6191094

Therefore, the GCF of Fractions 77/322,237/714,876/377 is 1/6191094

Least Common Multiple of 322,714,377 with GCF Formula

Least Common Multiple of 322,714,377 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 322,714,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,714,377) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(322,714,377) x common factors =1 x 14 = 14

LCM(322,714,377) = ( 322 × 714 × 377 ) / 14

LCM(322,714,377) = 86675316 / 14

LCM(322,714,377) = 6191094


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 77/322, 237/714, 876/377

1. 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.

2. What is the GCF of Fractions for 77/322, 237/714, 876/377?

Answer: GCF of Numerators as per given numbers 77/322, 237/714, 876/377 is

GCF of Numerators i.e. for 77,237,876 is 1

LCM of denominators i.e. for 322,714,377 is 6191094.

Thus, GCF of Fractions is 1/6191094.Finally, GCF of Fractions for 77/322, 237/714, 876/377 is 1/6191094.