Greatest Common Factor of 780/47, 126/65, 798/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/47, 126/65, 798/860

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 780/47,126/65,798/860

Given fractions are 780/47,126/65,798/860

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 780,126,798

Greatest Common Factor of Numerators i.e. GCF of 780,126,798 is 6 .

LCM of Denominators means LCM of 47,65,860 as per the given fractions.

LCM of 47,65,860 is 525460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,126,798

GCF of Fractions 780/47,126/65,798/860 is 6/525460

2 780, 126, 798
3 390, 63, 399
130, 21, 133

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 780,126,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,126,798 By Matching Biggest Common Factor Method

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 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 780,126,798 . The biggest common factor number is the GCF number.
So the greatest common factor 780,126,798 is 6.

Lets's calculate LCM of 47,65,860

5 47, 65, 860
47, 13, 172

∴ So the LCM of the given numbers is 5 x 47 x 13 x 172 = 525460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/525460

Therefore, the GCF of Fractions 780/47,126/65,798/860 is 6/525460

Least Common Multiple of 47,65,860 with GCF Formula

Least Common Multiple of 47,65,860 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 47,65,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,65,860) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(47,65,860) x common factors =1 x 5 = 5

LCM(47,65,860) = ( 47 × 65 × 860 ) / 5

LCM(47,65,860) = 2627300 / 5

LCM(47,65,860) = 525460


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 780/47, 126/65, 798/860

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 780/47, 126/65, 798/860?

Answer: GCF of Numerators as per given numbers 780/47, 126/65, 798/860 is

GCF of Numerators i.e. for 780,126,798 is 6

LCM of denominators i.e. for 47,65,860 is 525460.

Thus, GCF of Fractions is 6/525460.Finally, GCF of Fractions for 780/47, 126/65, 798/860 is 6/525460.