Greatest Common Factor of 2976/241, 8358/4035

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2976/241, 8358/4035

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 2976/241,8358/4035

Given fractions are 2976/241,8358/4035

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 2976,8358

Greatest Common Factor of Numerators i.e. GCF of 2976,8358 is 6 .

LCM of Denominators means LCM of 241,4035 as per the given fractions.

LCM of 241,4035 is 972435 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2976,8358

GCF of Fractions 2976/241,8358/4035 is 6/972435

2 2976, 8358
3 1488, 4179
496, 1393

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 2976,8358 By Matching Biggest Common Factor Method

Greatest Common Factor of 2976,8358 By Matching Biggest Common Factor Method

Factors of 2976

List of positive integer factors of 2976 that divides 2976 without a remainder.

1,2,3,4,6,8,12,16,24,31,32,48,62,93,96,124,186,248,372,496,744,992,1488,2976

Factors of 8358

List of positive integer factors of 8358 that divides 8358 without a remainder.

1,2,3,6,7,14,21,42,199,398,597,1194,1393,2786,4179,8358

Greatest Common Factor

We found the factors 2976,8358 . The biggest common factor number is the GCF number.
So the greatest common factor 2976,8358 is 6.

Lets's calculate LCM of 241,4035

Given numbers has no common factors except 1. So, there LCM is their product i.e 972435

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/972435

Therefore, the GCF of Fractions 2976/241,8358/4035 is 6/972435

Least Common Multiple of 241,4035 with GCF Formula

Least Common Multiple of 241,4035 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 241,4035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,4035) = 1

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

GCF(241,4035) x common factors =1 x 1 = 1

LCM(241,4035) = ( 241 × 4035 ) / 1

LCM(241,4035) = 972435 / 1

LCM(241,4035) = 972435


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 2976/241, 8358/4035

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 2976/241, 8358/4035?

Answer: GCF of Numerators as per given numbers 2976/241, 8358/4035 is

GCF of Numerators i.e. for 2976,8358 is 6

LCM of denominators i.e. for 241,4035 is 972435.

Thus, GCF of Fractions is 6/972435.Finally, GCF of Fractions for 2976/241, 8358/4035 is 6/972435.