Greatest Common Factor of 6170/318, 4926/6976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6170/318, 4926/6976

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 6170/318,4926/6976

Given fractions are 6170/318,4926/6976

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 6170,4926

Greatest Common Factor of Numerators i.e. GCF of 6170,4926 is 2 .

LCM of Denominators means LCM of 318,6976 as per the given fractions.

LCM of 318,6976 is 1109184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6170,4926

GCF of Fractions 6170/318,4926/6976 is 2/1109184

2 6170, 4926
3085, 2463

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6170,4926 By Matching Biggest Common Factor Method

Greatest Common Factor of 6170,4926 By Matching Biggest Common Factor Method

Factors of 6170

List of positive integer factors of 6170 that divides 6170 without a remainder.

1,2,5,10,617,1234,3085,6170

Factors of 4926

List of positive integer factors of 4926 that divides 4926 without a remainder.

1,2,3,6,821,1642,2463,4926

Greatest Common Factor

We found the factors 6170,4926 . The biggest common factor number is the GCF number.
So the greatest common factor 6170,4926 is 2.

Lets's calculate LCM of 318,6976

2 318, 6976
159, 3488

∴ So the LCM of the given numbers is 2 x 159 x 3488 = 1109184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1109184

Therefore, the GCF of Fractions 6170/318,4926/6976 is 2/1109184

Least Common Multiple of 318,6976 with GCF Formula

Least Common Multiple of 318,6976 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 318,6976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,6976) = 2

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

GCF(318,6976) x common factors =2 x 1 = 2

LCM(318,6976) = ( 318 × 6976 ) / 2

LCM(318,6976) = 2218368 / 2

LCM(318,6976) = 1109184


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 6170/318, 4926/6976

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 6170/318, 4926/6976?

Answer: GCF of Numerators as per given numbers 6170/318, 4926/6976 is

GCF of Numerators i.e. for 6170,4926 is 2

LCM of denominators i.e. for 318,6976 is 1109184.

Thus, GCF of Fractions is 2/1109184.Finally, GCF of Fractions for 6170/318, 4926/6976 is 2/1109184.