Greatest Common Factor of 546/710, 4334/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/710, 4334/660

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 546/710,4334/660

Given fractions are 546/710,4334/660

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 546,4334

Greatest Common Factor of Numerators i.e. GCF of 546,4334 is 2 .

LCM of Denominators means LCM of 710,660 as per the given fractions.

LCM of 710,660 is 46860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,4334

GCF of Fractions 546/710,4334/660 is 2/46860

2 546, 4334
273, 2167

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

Greatest Common Factor of 546,4334 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,4334 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 4334

List of positive integer factors of 4334 that divides 4334 without a remainder.

1,2,11,22,197,394,2167,4334

Greatest Common Factor

We found the factors 546,4334 . The biggest common factor number is the GCF number.
So the greatest common factor 546,4334 is 2.

Lets's calculate LCM of 710,660

2 710, 660
5 355, 330
71, 66

∴ So the LCM of the given numbers is 2 x 5 x 71 x 66 = 46860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46860

Therefore, the GCF of Fractions 546/710,4334/660 is 2/46860

Least Common Multiple of 710,660 with GCF Formula

Least Common Multiple of 710,660 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 710,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,660) = 10

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

GCF(710,660) x common factors =10 x 1 = 10

LCM(710,660) = ( 710 × 660 ) / 10

LCM(710,660) = 468600 / 10

LCM(710,660) = 46860


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 546/710, 4334/660

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 546/710, 4334/660?

Answer: GCF of Numerators as per given numbers 546/710, 4334/660 is

GCF of Numerators i.e. for 546,4334 is 2

LCM of denominators i.e. for 710,660 is 46860.

Thus, GCF of Fractions is 2/46860.Finally, GCF of Fractions for 546/710, 4334/660 is 2/46860.