Greatest Common Factor of 5298/570, 1812/1426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5298/570, 1812/1426

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 5298/570,1812/1426

Given fractions are 5298/570,1812/1426

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 5298,1812

Greatest Common Factor of Numerators i.e. GCF of 5298,1812 is 6 .

LCM of Denominators means LCM of 570,1426 as per the given fractions.

LCM of 570,1426 is 406410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5298,1812

GCF of Fractions 5298/570,1812/1426 is 6/406410

2 5298, 1812
3 2649, 906
883, 302

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5298,1812 By Matching Biggest Common Factor Method

Greatest Common Factor of 5298,1812 By Matching Biggest Common Factor Method

Factors of 5298

List of positive integer factors of 5298 that divides 5298 without a remainder.

1,2,3,6,883,1766,2649,5298

Factors of 1812

List of positive integer factors of 1812 that divides 1812 without a remainder.

1,2,3,4,6,12,151,302,453,604,906,1812

Greatest Common Factor

We found the factors 5298,1812 . The biggest common factor number is the GCF number.
So the greatest common factor 5298,1812 is 6.

Lets's calculate LCM of 570,1426

2 570, 1426
285, 713

∴ So the LCM of the given numbers is 2 x 285 x 713 = 406410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/406410

Therefore, the GCF of Fractions 5298/570,1812/1426 is 6/406410

Least Common Multiple of 570,1426 with GCF Formula

Least Common Multiple of 570,1426 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 570,1426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,1426) = 2

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

GCF(570,1426) x common factors =2 x 1 = 2

LCM(570,1426) = ( 570 × 1426 ) / 2

LCM(570,1426) = 812820 / 2

LCM(570,1426) = 406410


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 5298/570, 1812/1426

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 5298/570, 1812/1426?

Answer: GCF of Numerators as per given numbers 5298/570, 1812/1426 is

GCF of Numerators i.e. for 5298,1812 is 6

LCM of denominators i.e. for 570,1426 is 406410.

Thus, GCF of Fractions is 6/406410.Finally, GCF of Fractions for 5298/570, 1812/1426 is 6/406410.