Greatest Common Factor of 5772/953, 9072/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5772/953, 9072/940

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 5772/953,9072/940

Given fractions are 5772/953,9072/940

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 5772,9072

Greatest Common Factor of Numerators i.e. GCF of 5772,9072 is 12 .

LCM of Denominators means LCM of 953,940 as per the given fractions.

LCM of 953,940 is 895820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5772,9072

GCF of Fractions 5772/953,9072/940 is 12/895820

2 5772, 9072
2 2886, 4536
3 1443, 2268
481, 756

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

Greatest Common Factor of 5772,9072 By Matching Biggest Common Factor Method

Greatest Common Factor of 5772,9072 By Matching Biggest Common Factor Method

Factors of 5772

List of positive integer factors of 5772 that divides 5772 without a remainder.

1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772

Factors of 9072

List of positive integer factors of 9072 that divides 9072 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072

Greatest Common Factor

We found the factors 5772,9072 . The biggest common factor number is the GCF number.
So the greatest common factor 5772,9072 is 12.

Lets's calculate LCM of 953,940

Given numbers has no common factors except 1. So, there LCM is their product i.e 895820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/895820

Therefore, the GCF of Fractions 5772/953,9072/940 is 12/895820

Least Common Multiple of 953,940 with GCF Formula

Least Common Multiple of 953,940 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 953,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,940) = 1

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

GCF(953,940) x common factors =1 x 1 = 1

LCM(953,940) = ( 953 × 940 ) / 1

LCM(953,940) = 895820 / 1

LCM(953,940) = 895820


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 5772/953, 9072/940

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 5772/953, 9072/940?

Answer: GCF of Numerators as per given numbers 5772/953, 9072/940 is

GCF of Numerators i.e. for 5772,9072 is 12

LCM of denominators i.e. for 953,940 is 895820.

Thus, GCF of Fractions is 12/895820.Finally, GCF of Fractions for 5772/953, 9072/940 is 12/895820.