Greatest Common Factor of 780/685, 852/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/685, 852/456

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 780/685,852/456

Given fractions are 780/685,852/456

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 780,852

Greatest Common Factor of Numerators i.e. GCF of 780,852 is 12 .

LCM of Denominators means LCM of 685,456 as per the given fractions.

LCM of 685,456 is 312360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,852

GCF of Fractions 780/685,852/456 is 12/312360

2 780, 852
2 390, 426
3 195, 213
65, 71

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 780,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,852 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 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 780,852 . The biggest common factor number is the GCF number.
So the greatest common factor 780,852 is 12.

Lets's calculate LCM of 685,456

Given numbers has no common factors except 1. So, there LCM is their product i.e 312360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/312360

Therefore, the GCF of Fractions 780/685,852/456 is 12/312360

Least Common Multiple of 685,456 with GCF Formula

Least Common Multiple of 685,456 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 685,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,456) = 1

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

GCF(685,456) x common factors =1 x 1 = 1

LCM(685,456) = ( 685 × 456 ) / 1

LCM(685,456) = 312360 / 1

LCM(685,456) = 312360


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 780/685, 852/456

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 780/685, 852/456?

Answer: GCF of Numerators as per given numbers 780/685, 852/456 is

GCF of Numerators i.e. for 780,852 is 12

LCM of denominators i.e. for 685,456 is 312360.

Thus, GCF of Fractions is 12/312360.Finally, GCF of Fractions for 780/685, 852/456 is 12/312360.