Greatest Common Factor of 7758/77, 1230/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7758/77, 1230/877

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 7758/77,1230/877

Given fractions are 7758/77,1230/877

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 7758,1230

Greatest Common Factor of Numerators i.e. GCF of 7758,1230 is 6 .

LCM of Denominators means LCM of 77,877 as per the given fractions.

LCM of 77,877 is 67529 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7758,1230

GCF of Fractions 7758/77,1230/877 is 6/67529

2 7758, 1230
3 3879, 615
1293, 205

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

Greatest Common Factor of 7758,1230 By Matching Biggest Common Factor Method

Greatest Common Factor of 7758,1230 By Matching Biggest Common Factor Method

Factors of 7758

List of positive integer factors of 7758 that divides 7758 without a remainder.

1,2,3,6,9,18,431,862,1293,2586,3879,7758

Factors of 1230

List of positive integer factors of 1230 that divides 1230 without a remainder.

1,2,3,5,6,10,15,30,41,82,123,205,246,410,615,1230

Greatest Common Factor

We found the factors 7758,1230 . The biggest common factor number is the GCF number.
So the greatest common factor 7758,1230 is 6.

Lets's calculate LCM of 77,877

Given numbers has no common factors except 1. So, there LCM is their product i.e 67529

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/67529

Therefore, the GCF of Fractions 7758/77,1230/877 is 6/67529

Least Common Multiple of 77,877 with GCF Formula

Least Common Multiple of 77,877 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 77,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,877) = 1

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

GCF(77,877) x common factors =1 x 1 = 1

LCM(77,877) = ( 77 × 877 ) / 1

LCM(77,877) = 67529 / 1

LCM(77,877) = 67529


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 7758/77, 1230/877

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 7758/77, 1230/877?

Answer: GCF of Numerators as per given numbers 7758/77, 1230/877 is

GCF of Numerators i.e. for 7758,1230 is 6

LCM of denominators i.e. for 77,877 is 67529.

Thus, GCF of Fractions is 6/67529.Finally, GCF of Fractions for 7758/77, 1230/877 is 6/67529.