Greatest Common Factor of 7884/722, 1053/3312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7884/722, 1053/3312

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 7884/722,1053/3312

Given fractions are 7884/722,1053/3312

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 7884,1053

Greatest Common Factor of Numerators i.e. GCF of 7884,1053 is 27 .

LCM of Denominators means LCM of 722,3312 as per the given fractions.

LCM of 722,3312 is 1195632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7884,1053

GCF of Fractions 7884/722,1053/3312 is 27/1195632

3 7884, 1053
3 2628, 351
3 876, 117
292, 39

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 7884,1053 By Matching Biggest Common Factor Method

Greatest Common Factor of 7884,1053 By Matching Biggest Common Factor Method

Factors of 7884

List of positive integer factors of 7884 that divides 7884 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,73,108,146,219,292,438,657,876,1314,1971,2628,3942,7884

Factors of 1053

List of positive integer factors of 1053 that divides 1053 without a remainder.

1,3,9,13,27,39,81,117,351,1053

Greatest Common Factor

We found the factors 7884,1053 . The biggest common factor number is the GCF number.
So the greatest common factor 7884,1053 is 27.

Lets's calculate LCM of 722,3312

2 722, 3312
361, 1656

∴ So the LCM of the given numbers is 2 x 361 x 1656 = 1195632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/1195632

Therefore, the GCF of Fractions 7884/722,1053/3312 is 27/1195632

Least Common Multiple of 722,3312 with GCF Formula

Least Common Multiple of 722,3312 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 722,3312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,3312) = 2

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

GCF(722,3312) x common factors =2 x 1 = 2

LCM(722,3312) = ( 722 × 3312 ) / 2

LCM(722,3312) = 2391264 / 2

LCM(722,3312) = 1195632


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 7884/722, 1053/3312

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 7884/722, 1053/3312?

Answer: GCF of Numerators as per given numbers 7884/722, 1053/3312 is

GCF of Numerators i.e. for 7884,1053 is 27

LCM of denominators i.e. for 722,3312 is 1195632.

Thus, GCF of Fractions is 27/1195632.Finally, GCF of Fractions for 7884/722, 1053/3312 is 27/1195632.