Greatest Common Factor of 777/52, 306/60, 124/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 777/52, 306/60, 124/261

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 777/52,306/60,124/261

Given fractions are 777/52,306/60,124/261

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 777,306,124

Greatest Common Factor of Numerators i.e. GCF of 777,306,124 is 1 .

LCM of Denominators means LCM of 52,60,261 as per the given fractions.

LCM of 52,60,261 is 67860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 777,306,124

GCF of Fractions 777/52,306/60,124/261 is 1/67860

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 777,306,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,306,124 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 777,306,124 . The biggest common factor number is the GCF number.
So the greatest common factor 777,306,124 is 1.

Lets's calculate LCM of 52,60,261

2 52, 60, 261
2 26, 30, 261
3 13, 15, 261
13, 5, 87

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 5 x 87 = 67860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67860

Therefore, the GCF of Fractions 777/52,306/60,124/261 is 1/67860

Least Common Multiple of 52,60,261 with GCF Formula

Least Common Multiple of 52,60,261 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 52,60,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,60,261) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(52,60,261) x common factors =1 x 12 = 12

LCM(52,60,261) = ( 52 × 60 × 261 ) / 12

LCM(52,60,261) = 814320 / 12

LCM(52,60,261) = 67860


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 777/52, 306/60, 124/261

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 777/52, 306/60, 124/261?

Answer: GCF of Numerators as per given numbers 777/52, 306/60, 124/261 is

GCF of Numerators i.e. for 777,306,124 is 1

LCM of denominators i.e. for 52,60,261 is 67860.

Thus, GCF of Fractions is 1/67860.Finally, GCF of Fractions for 777/52, 306/60, 124/261 is 1/67860.