Greatest Common Factor of 60/51, 780/14, 676/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/51, 780/14, 676/310

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 60/51,780/14,676/310

Given fractions are 60/51,780/14,676/310

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 60,780,676

Greatest Common Factor of Numerators i.e. GCF of 60,780,676 is 4 .

LCM of Denominators means LCM of 51,14,310 as per the given fractions.

LCM of 51,14,310 is 110670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,780,676

GCF of Fractions 60/51,780/14,676/310 is 4/110670

2 60, 780, 676
2 30, 390, 338
15, 195, 169

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 60,780,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,780,676 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 60,780,676 . The biggest common factor number is the GCF number.
So the greatest common factor 60,780,676 is 4.

Lets's calculate LCM of 51,14,310

2 51, 14, 310
51, 7, 155

∴ So the LCM of the given numbers is 2 x 51 x 7 x 155 = 110670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/110670

Therefore, the GCF of Fractions 60/51,780/14,676/310 is 4/110670

Least Common Multiple of 51,14,310 with GCF Formula

Least Common Multiple of 51,14,310 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 51,14,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,14,310) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(51,14,310) x common factors =1 x 2 = 2

LCM(51,14,310) = ( 51 × 14 × 310 ) / 2

LCM(51,14,310) = 221340 / 2

LCM(51,14,310) = 110670


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 60/51, 780/14, 676/310

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 60/51, 780/14, 676/310?

Answer: GCF of Numerators as per given numbers 60/51, 780/14, 676/310 is

GCF of Numerators i.e. for 60,780,676 is 4

LCM of denominators i.e. for 51,14,310 is 110670.

Thus, GCF of Fractions is 4/110670.Finally, GCF of Fractions for 60/51, 780/14, 676/310 is 4/110670.