Greatest Common Factor of 8398/270, 3210/2942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8398/270, 3210/2942

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 8398/270,3210/2942

Given fractions are 8398/270,3210/2942

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 8398,3210

Greatest Common Factor of Numerators i.e. GCF of 8398,3210 is 2 .

LCM of Denominators means LCM of 270,2942 as per the given fractions.

LCM of 270,2942 is 397170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8398,3210

GCF of Fractions 8398/270,3210/2942 is 2/397170

2 8398, 3210
4199, 1605

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

Greatest Common Factor of 8398,3210 By Matching Biggest Common Factor Method

Greatest Common Factor of 8398,3210 By Matching Biggest Common Factor Method

Factors of 8398

List of positive integer factors of 8398 that divides 8398 without a remainder.

1,2,13,17,19,26,34,38,221,247,323,442,494,646,4199,8398

Factors of 3210

List of positive integer factors of 3210 that divides 3210 without a remainder.

1,2,3,5,6,10,15,30,107,214,321,535,642,1070,1605,3210

Greatest Common Factor

We found the factors 8398,3210 . The biggest common factor number is the GCF number.
So the greatest common factor 8398,3210 is 2.

Lets's calculate LCM of 270,2942

2 270, 2942
135, 1471

∴ So the LCM of the given numbers is 2 x 135 x 1471 = 397170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/397170

Therefore, the GCF of Fractions 8398/270,3210/2942 is 2/397170

Least Common Multiple of 270,2942 with GCF Formula

Least Common Multiple of 270,2942 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 270,2942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,2942) = 2

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

GCF(270,2942) x common factors =2 x 1 = 2

LCM(270,2942) = ( 270 × 2942 ) / 2

LCM(270,2942) = 794340 / 2

LCM(270,2942) = 397170


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 8398/270, 3210/2942

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 8398/270, 3210/2942?

Answer: GCF of Numerators as per given numbers 8398/270, 3210/2942 is

GCF of Numerators i.e. for 8398,3210 is 2

LCM of denominators i.e. for 270,2942 is 397170.

Thus, GCF of Fractions is 2/397170.Finally, GCF of Fractions for 8398/270, 3210/2942 is 2/397170.