Greatest Common Factor of 641/945, 838/351, 917/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 641/945, 838/351, 917/123

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 641/945,838/351,917/123

Given fractions are 641/945,838/351,917/123

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 641,838,917

Greatest Common Factor of Numerators i.e. GCF of 641,838,917 is 1 .

LCM of Denominators means LCM of 945,351,123 as per the given fractions.

LCM of 945,351,123 is 503685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 641,838,917

GCF of Fractions 641/945,838/351,917/123 is 1/503685

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

Greatest Common Factor of 641,838,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 641,838,917 By Matching Biggest Common Factor Method

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 641,838,917 . The biggest common factor number is the GCF number.
So the greatest common factor 641,838,917 is 1.

Lets's calculate LCM of 945,351,123

3 945, 351, 123
3 315, 117, 41
3 105, 39, 41
35, 13, 41

∴ So the LCM of the given numbers is 3 x 3 x 3 x 35 x 13 x 41 = 503685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/503685

Therefore, the GCF of Fractions 641/945,838/351,917/123 is 1/503685

Least Common Multiple of 945,351,123 with GCF Formula

Least Common Multiple of 945,351,123 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 945,351,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,351,123) = 3

common factors(in case of two or more numbers have common factors) = 27

GCF(945,351,123) x common factors =3 x 27 = 81

LCM(945,351,123) = ( 945 × 351 × 123 ) / 81

LCM(945,351,123) = 40798485 / 81

LCM(945,351,123) = 503685


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 641/945, 838/351, 917/123

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 641/945, 838/351, 917/123?

Answer: GCF of Numerators as per given numbers 641/945, 838/351, 917/123 is

GCF of Numerators i.e. for 641,838,917 is 1

LCM of denominators i.e. for 945,351,123 is 503685.

Thus, GCF of Fractions is 1/503685.Finally, GCF of Fractions for 641/945, 838/351, 917/123 is 1/503685.