Greatest Common Factor of 420/577, 7956/8411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/577, 7956/8411

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 420/577,7956/8411

Given fractions are 420/577,7956/8411

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 420,7956

Greatest Common Factor of Numerators i.e. GCF of 420,7956 is 12 .

LCM of Denominators means LCM of 577,8411 as per the given fractions.

LCM of 577,8411 is 4853147 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,7956

GCF of Fractions 420/577,7956/8411 is 12/4853147

2 420, 7956
2 210, 3978
3 105, 1989
35, 663

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

Greatest Common Factor of 420,7956 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,7956 By Matching Biggest Common Factor Method

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

Factors of 7956

List of positive integer factors of 7956 that divides 7956 without a remainder.

1,2,3,4,6,9,12,13,17,18,26,34,36,39,51,52,68,78,102,117,153,156,204,221,234,306,442,468,612,663,884,1326,1989,2652,3978,7956

Greatest Common Factor

We found the factors 420,7956 . The biggest common factor number is the GCF number.
So the greatest common factor 420,7956 is 12.

Lets's calculate LCM of 577,8411

Given numbers has no common factors except 1. So, there LCM is their product i.e 4853147

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/4853147

Therefore, the GCF of Fractions 420/577,7956/8411 is 12/4853147

Least Common Multiple of 577,8411 with GCF Formula

Least Common Multiple of 577,8411 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 577,8411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,8411) = 1

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

GCF(577,8411) x common factors =1 x 1 = 1

LCM(577,8411) = ( 577 × 8411 ) / 1

LCM(577,8411) = 4853147 / 1

LCM(577,8411) = 4853147


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 420/577, 7956/8411

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 420/577, 7956/8411?

Answer: GCF of Numerators as per given numbers 420/577, 7956/8411 is

GCF of Numerators i.e. for 420,7956 is 12

LCM of denominators i.e. for 577,8411 is 4853147.

Thus, GCF of Fractions is 12/4853147.Finally, GCF of Fractions for 420/577, 7956/8411 is 12/4853147.