Greatest Common Factor of 7908/51, 1220/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7908/51, 1220/197

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 7908/51,1220/197

Given fractions are 7908/51,1220/197

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 7908,1220

Greatest Common Factor of Numerators i.e. GCF of 7908,1220 is 4 .

LCM of Denominators means LCM of 51,197 as per the given fractions.

LCM of 51,197 is 10047 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7908,1220

GCF of Fractions 7908/51,1220/197 is 4/10047

2 7908, 1220
2 3954, 610
1977, 305

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

Greatest Common Factor of 7908,1220 By Matching Biggest Common Factor Method

Greatest Common Factor of 7908,1220 By Matching Biggest Common Factor Method

Factors of 7908

List of positive integer factors of 7908 that divides 7908 without a remainder.

1,2,3,4,6,12,659,1318,1977,2636,3954,7908

Factors of 1220

List of positive integer factors of 1220 that divides 1220 without a remainder.

1,2,4,5,10,20,61,122,244,305,610,1220

Greatest Common Factor

We found the factors 7908,1220 . The biggest common factor number is the GCF number.
So the greatest common factor 7908,1220 is 4.

Lets's calculate LCM of 51,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 10047

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10047

Therefore, the GCF of Fractions 7908/51,1220/197 is 4/10047

Least Common Multiple of 51,197 with GCF Formula

Least Common Multiple of 51,197 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 51,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,197) = 1

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

GCF(51,197) x common factors =1 x 1 = 1

LCM(51,197) = ( 51 × 197 ) / 1

LCM(51,197) = 10047 / 1

LCM(51,197) = 10047


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 7908/51, 1220/197

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 7908/51, 1220/197?

Answer: GCF of Numerators as per given numbers 7908/51, 1220/197 is

GCF of Numerators i.e. for 7908,1220 is 4

LCM of denominators i.e. for 51,197 is 10047.

Thus, GCF of Fractions is 4/10047.Finally, GCF of Fractions for 7908/51, 1220/197 is 4/10047.