Greatest Common Factor of 7908/618, 7788/5827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7908/618, 7788/5827

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 7908/618,7788/5827

Given fractions are 7908/618,7788/5827

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 7908,7788

Greatest Common Factor of Numerators i.e. GCF of 7908,7788 is 12 .

LCM of Denominators means LCM of 618,5827 as per the given fractions.

LCM of 618,5827 is 3601086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7908,7788

GCF of Fractions 7908/618,7788/5827 is 12/3601086

2 7908, 7788
2 3954, 3894
3 1977, 1947
659, 649

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

Greatest Common Factor of 7908,7788 By Matching Biggest Common Factor Method

Greatest Common Factor of 7908,7788 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 7788

List of positive integer factors of 7788 that divides 7788 without a remainder.

1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788

Greatest Common Factor

We found the factors 7908,7788 . The biggest common factor number is the GCF number.
So the greatest common factor 7908,7788 is 12.

Lets's calculate LCM of 618,5827

Given numbers has no common factors except 1. So, there LCM is their product i.e 3601086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3601086

Therefore, the GCF of Fractions 7908/618,7788/5827 is 12/3601086

Least Common Multiple of 618,5827 with GCF Formula

Least Common Multiple of 618,5827 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 618,5827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,5827) = 1

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

GCF(618,5827) x common factors =1 x 1 = 1

LCM(618,5827) = ( 618 × 5827 ) / 1

LCM(618,5827) = 3601086 / 1

LCM(618,5827) = 3601086


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 7908/618, 7788/5827

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 7908/618, 7788/5827?

Answer: GCF of Numerators as per given numbers 7908/618, 7788/5827 is

GCF of Numerators i.e. for 7908,7788 is 12

LCM of denominators i.e. for 618,5827 is 3601086.

Thus, GCF of Fractions is 12/3601086.Finally, GCF of Fractions for 7908/618, 7788/5827 is 12/3601086.