Greatest Common Factor of 4879/957, 9846/8114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4879/957, 9846/8114

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 4879/957,9846/8114

Given fractions are 4879/957,9846/8114

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 4879,9846

Greatest Common Factor of Numerators i.e. GCF of 4879,9846 is 1 .

LCM of Denominators means LCM of 957,8114 as per the given fractions.

LCM of 957,8114 is 7765098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4879,9846

GCF of Fractions 4879/957,9846/8114 is 1/7765098

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

Greatest Common Factor of 4879,9846 By Matching Biggest Common Factor Method

Greatest Common Factor of 4879,9846 By Matching Biggest Common Factor Method

Factors of 4879

List of positive integer factors of 4879 that divides 4879 without a remainder.

1,7,17,41,119,287,697,4879

Factors of 9846

List of positive integer factors of 9846 that divides 9846 without a remainder.

1,2,3,6,9,18,547,1094,1641,3282,4923,9846

Greatest Common Factor

We found the factors 4879,9846 . The biggest common factor number is the GCF number.
So the greatest common factor 4879,9846 is 1.

Lets's calculate LCM of 957,8114

Given numbers has no common factors except 1. So, there LCM is their product i.e 7765098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7765098

Therefore, the GCF of Fractions 4879/957,9846/8114 is 1/7765098

Least Common Multiple of 957,8114 with GCF Formula

Least Common Multiple of 957,8114 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 957,8114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,8114) = 1

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

GCF(957,8114) x common factors =1 x 1 = 1

LCM(957,8114) = ( 957 × 8114 ) / 1

LCM(957,8114) = 7765098 / 1

LCM(957,8114) = 7765098


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 4879/957, 9846/8114

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 4879/957, 9846/8114?

Answer: GCF of Numerators as per given numbers 4879/957, 9846/8114 is

GCF of Numerators i.e. for 4879,9846 is 1

LCM of denominators i.e. for 957,8114 is 7765098.

Thus, GCF of Fractions is 1/7765098.Finally, GCF of Fractions for 4879/957, 9846/8114 is 1/7765098.