Greatest Common Factor of 7/57, 154/21, 826/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/57, 154/21, 826/42

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 7/57,154/21,826/42

Given fractions are 7/57,154/21,826/42

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 7,154,826

Greatest Common Factor of Numerators i.e. GCF of 7,154,826 is 7 .

LCM of Denominators means LCM of 57,21,42 as per the given fractions.

LCM of 57,21,42 is 798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,154,826

GCF of Fractions 7/57,154/21,826/42 is 7/798

7 7, 154, 826
1, 22, 118

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7,154,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,154,826 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 7,154,826 . The biggest common factor number is the GCF number.
So the greatest common factor 7,154,826 is 7.

Lets's calculate LCM of 57,21,42

3 57, 21, 42
7 19, 7, 14
19, 1, 2

∴ So the LCM of the given numbers is 3 x 7 x 19 x 1 x 2 = 798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/798

Therefore, the GCF of Fractions 7/57,154/21,826/42 is 7/798

Least Common Multiple of 57,21,42 with GCF Formula

Least Common Multiple of 57,21,42 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 57,21,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,21,42) = 3

common factors(in case of two or more numbers have common factors) = 21

GCF(57,21,42) x common factors =3 x 21 = 63

LCM(57,21,42) = ( 57 × 21 × 42 ) / 63

LCM(57,21,42) = 50274 / 63

LCM(57,21,42) = 798


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 7/57, 154/21, 826/42

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 7/57, 154/21, 826/42?

Answer: GCF of Numerators as per given numbers 7/57, 154/21, 826/42 is

GCF of Numerators i.e. for 7,154,826 is 7

LCM of denominators i.e. for 57,21,42 is 798.

Thus, GCF of Fractions is 7/798.Finally, GCF of Fractions for 7/57, 154/21, 826/42 is 7/798.