Greatest Common Factor of 1426/21, 7202/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1426/21, 7202/879

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 1426/21,7202/879

Given fractions are 1426/21,7202/879

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 1426,7202

Greatest Common Factor of Numerators i.e. GCF of 1426,7202 is 2 .

LCM of Denominators means LCM of 21,879 as per the given fractions.

LCM of 21,879 is 6153 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1426,7202

GCF of Fractions 1426/21,7202/879 is 2/6153

2 1426, 7202
713, 3601

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1426,7202 By Matching Biggest Common Factor Method

Greatest Common Factor of 1426,7202 By Matching Biggest Common Factor Method

Factors of 1426

List of positive integer factors of 1426 that divides 1426 without a remainder.

1,2,23,31,46,62,713,1426

Factors of 7202

List of positive integer factors of 7202 that divides 7202 without a remainder.

1,2,13,26,277,554,3601,7202

Greatest Common Factor

We found the factors 1426,7202 . The biggest common factor number is the GCF number.
So the greatest common factor 1426,7202 is 2.

Lets's calculate LCM of 21,879

3 21, 879
7, 293

∴ So the LCM of the given numbers is 3 x 7 x 293 = 6153

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6153

Therefore, the GCF of Fractions 1426/21,7202/879 is 2/6153

Least Common Multiple of 21,879 with GCF Formula

Least Common Multiple of 21,879 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 21,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,879) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(21,879) x common factors =3 x 1 = 3

LCM(21,879) = ( 21 × 879 ) / 3

LCM(21,879) = 18459 / 3

LCM(21,879) = 6153


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 1426/21, 7202/879

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 1426/21, 7202/879?

Answer: GCF of Numerators as per given numbers 1426/21, 7202/879 is

GCF of Numerators i.e. for 1426,7202 is 2

LCM of denominators i.e. for 21,879 is 6153.

Thus, GCF of Fractions is 2/6153.Finally, GCF of Fractions for 1426/21, 7202/879 is 2/6153.