Greatest Common Factor of 280/888, 927/896, 956/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 280/888, 927/896, 956/953

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 280/888,927/896,956/953

Given fractions are 280/888,927/896,956/953

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 280,927,956

Greatest Common Factor of Numerators i.e. GCF of 280,927,956 is 1 .

LCM of Denominators means LCM of 888,896,953 as per the given fractions.

LCM of 888,896,953 is 94781568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 280,927,956

GCF of Fractions 280/888,927/896,956/953 is 1/94781568

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 280,927,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,927,956 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 280,927,956 . The biggest common factor number is the GCF number.
So the greatest common factor 280,927,956 is 1.

Lets's calculate LCM of 888,896,953

2 888, 896, 953
2 444, 448, 953
2 222, 224, 953
111, 112, 953

∴ So the LCM of the given numbers is 2 x 2 x 2 x 111 x 112 x 953 = 94781568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94781568

Therefore, the GCF of Fractions 280/888,927/896,956/953 is 1/94781568

Least Common Multiple of 888,896,953 with GCF Formula

Least Common Multiple of 888,896,953 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 888,896,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(888,896,953) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(888,896,953) x common factors =1 x 8 = 8

LCM(888,896,953) = ( 888 × 896 × 953 ) / 8

LCM(888,896,953) = 758252544 / 8

LCM(888,896,953) = 94781568


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 280/888, 927/896, 956/953

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 280/888, 927/896, 956/953?

Answer: GCF of Numerators as per given numbers 280/888, 927/896, 956/953 is

GCF of Numerators i.e. for 280,927,956 is 1

LCM of denominators i.e. for 888,896,953 is 94781568.

Thus, GCF of Fractions is 1/94781568.Finally, GCF of Fractions for 280/888, 927/896, 956/953 is 1/94781568.