Greatest Common Factor of 9451/279, 5684/1119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9451/279, 5684/1119

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 9451/279,5684/1119

Given fractions are 9451/279,5684/1119

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 9451,5684

Greatest Common Factor of Numerators i.e. GCF of 9451,5684 is 1 .

LCM of Denominators means LCM of 279,1119 as per the given fractions.

LCM of 279,1119 is 104067 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9451,5684

GCF of Fractions 9451/279,5684/1119 is 1/104067

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

Greatest Common Factor of 9451,5684 By Matching Biggest Common Factor Method

Greatest Common Factor of 9451,5684 By Matching Biggest Common Factor Method

Factors of 9451

List of positive integer factors of 9451 that divides 9451 without a remainder.

1,13,727,9451

Factors of 5684

List of positive integer factors of 5684 that divides 5684 without a remainder.

1,2,4,7,14,28,29,49,58,98,116,196,203,406,812,1421,2842,5684

Greatest Common Factor

We found the factors 9451,5684 . The biggest common factor number is the GCF number.
So the greatest common factor 9451,5684 is 1.

Lets's calculate LCM of 279,1119

3 279, 1119
93, 373

∴ So the LCM of the given numbers is 3 x 93 x 373 = 104067

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104067

Therefore, the GCF of Fractions 9451/279,5684/1119 is 1/104067

Least Common Multiple of 279,1119 with GCF Formula

Least Common Multiple of 279,1119 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 279,1119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,1119) = 3

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

GCF(279,1119) x common factors =3 x 1 = 3

LCM(279,1119) = ( 279 × 1119 ) / 3

LCM(279,1119) = 312201 / 3

LCM(279,1119) = 104067


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 9451/279, 5684/1119

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 9451/279, 5684/1119?

Answer: GCF of Numerators as per given numbers 9451/279, 5684/1119 is

GCF of Numerators i.e. for 9451,5684 is 1

LCM of denominators i.e. for 279,1119 is 104067.

Thus, GCF of Fractions is 1/104067.Finally, GCF of Fractions for 9451/279, 5684/1119 is 1/104067.