Greatest Common Factor of 922/51, 941/40, 567/69

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 922/51, 941/40, 567/69

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 922/51,941/40,567/69

Given fractions are 922/51,941/40,567/69

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 922,941,567

Greatest Common Factor of Numerators i.e. GCF of 922,941,567 is 1 .

LCM of Denominators means LCM of 51,40,69 as per the given fractions.

LCM of 51,40,69 is 46920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 922,941,567

GCF of Fractions 922/51,941/40,567/69 is 1/46920

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

Greatest Common Factor of 922,941,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 922,941,567 By Matching Biggest Common Factor Method

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 922,941,567 . The biggest common factor number is the GCF number.
So the greatest common factor 922,941,567 is 1.

Lets's calculate LCM of 51,40,69

3 51, 40, 69
17, 40, 23

∴ So the LCM of the given numbers is 3 x 17 x 40 x 23 = 46920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46920

Therefore, the GCF of Fractions 922/51,941/40,567/69 is 1/46920

Least Common Multiple of 51,40,69 with GCF Formula

Least Common Multiple of 51,40,69 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 51,40,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,40,69) = 1

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

GCF(51,40,69) x common factors =1 x 3 = 3

LCM(51,40,69) = ( 51 × 40 × 69 ) / 3

LCM(51,40,69) = 140760 / 3

LCM(51,40,69) = 46920


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 922/51, 941/40, 567/69

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 922/51, 941/40, 567/69?

Answer: GCF of Numerators as per given numbers 922/51, 941/40, 567/69 is

GCF of Numerators i.e. for 922,941,567 is 1

LCM of denominators i.e. for 51,40,69 is 46920.

Thus, GCF of Fractions is 1/46920.Finally, GCF of Fractions for 922/51, 941/40, 567/69 is 1/46920.