Greatest Common Factor of 6134/842, 2730/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6134/842, 2730/210

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 6134/842,2730/210

Given fractions are 6134/842,2730/210

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 6134,2730

Greatest Common Factor of Numerators i.e. GCF of 6134,2730 is 2 .

LCM of Denominators means LCM of 842,210 as per the given fractions.

LCM of 842,210 is 88410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6134,2730

GCF of Fractions 6134/842,2730/210 is 2/88410

2 6134, 2730
3067, 1365

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

Greatest Common Factor of 6134,2730 By Matching Biggest Common Factor Method

Greatest Common Factor of 6134,2730 By Matching Biggest Common Factor Method

Factors of 6134

List of positive integer factors of 6134 that divides 6134 without a remainder.

1,2,3067,6134

Factors of 2730

List of positive integer factors of 2730 that divides 2730 without a remainder.

1,2,3,5,6,7,10,13,14,15,21,26,30,35,39,42,65,70,78,91,105,130,182,195,210,273,390,455,546,910,1365,2730

Greatest Common Factor

We found the factors 6134,2730 . The biggest common factor number is the GCF number.
So the greatest common factor 6134,2730 is 2.

Lets's calculate LCM of 842,210

2 842, 210
421, 105

∴ So the LCM of the given numbers is 2 x 421 x 105 = 88410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/88410

Therefore, the GCF of Fractions 6134/842,2730/210 is 2/88410

Least Common Multiple of 842,210 with GCF Formula

Least Common Multiple of 842,210 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 842,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,210) = 2

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

GCF(842,210) x common factors =2 x 1 = 2

LCM(842,210) = ( 842 × 210 ) / 2

LCM(842,210) = 176820 / 2

LCM(842,210) = 88410


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 6134/842, 2730/210

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 6134/842, 2730/210?

Answer: GCF of Numerators as per given numbers 6134/842, 2730/210 is

GCF of Numerators i.e. for 6134,2730 is 2

LCM of denominators i.e. for 842,210 is 88410.

Thus, GCF of Fractions is 2/88410.Finally, GCF of Fractions for 6134/842, 2730/210 is 2/88410.