Greatest Common Factor of 876/545, 420/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 876/545, 420/208

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 876/545,420/208

Given fractions are 876/545,420/208

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 876,420

Greatest Common Factor of Numerators i.e. GCF of 876,420 is 12 .

LCM of Denominators means LCM of 545,208 as per the given fractions.

LCM of 545,208 is 113360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 876,420

GCF of Fractions 876/545,420/208 is 12/113360

2 876, 420
2 438, 210
3 219, 105
73, 35

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

Greatest Common Factor of 876,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,420 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 876,420 . The biggest common factor number is the GCF number.
So the greatest common factor 876,420 is 12.

Lets's calculate LCM of 545,208

Given numbers has no common factors except 1. So, there LCM is their product i.e 113360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/113360

Therefore, the GCF of Fractions 876/545,420/208 is 12/113360

Least Common Multiple of 545,208 with GCF Formula

Least Common Multiple of 545,208 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 545,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,208) = 1

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

GCF(545,208) x common factors =1 x 1 = 1

LCM(545,208) = ( 545 × 208 ) / 1

LCM(545,208) = 113360 / 1

LCM(545,208) = 113360


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 876/545, 420/208

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 876/545, 420/208?

Answer: GCF of Numerators as per given numbers 876/545, 420/208 is

GCF of Numerators i.e. for 876,420 is 12

LCM of denominators i.e. for 545,208 is 113360.

Thus, GCF of Fractions is 12/113360.Finally, GCF of Fractions for 876/545, 420/208 is 12/113360.