Greatest Common Factor of 2967/948, 6036/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2967/948, 6036/474

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 2967/948,6036/474

Given fractions are 2967/948,6036/474

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 2967,6036

Greatest Common Factor of Numerators i.e. GCF of 2967,6036 is 3 .

LCM of Denominators means LCM of 948,474 as per the given fractions.

LCM of 948,474 is 948 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2967,6036

GCF of Fractions 2967/948,6036/474 is 3/948

3 2967, 6036
989, 2012

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2967,6036 By Matching Biggest Common Factor Method

Greatest Common Factor of 2967,6036 By Matching Biggest Common Factor Method

Factors of 2967

List of positive integer factors of 2967 that divides 2967 without a remainder.

1,3,23,43,69,129,989,2967

Factors of 6036

List of positive integer factors of 6036 that divides 6036 without a remainder.

1,2,3,4,6,12,503,1006,1509,2012,3018,6036

Greatest Common Factor

We found the factors 2967,6036 . The biggest common factor number is the GCF number.
So the greatest common factor 2967,6036 is 3.

Lets's calculate LCM of 948,474

2 948, 474
3 474, 237
79 158, 79
2, 1

∴ So the LCM of the given numbers is 2 x 3 x 79 x 2 x 1 = 948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/948

Therefore, the GCF of Fractions 2967/948,6036/474 is 3/948

Least Common Multiple of 948,474 with GCF Formula

Least Common Multiple of 948,474 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 948,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,474) = 474

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

GCF(948,474) x common factors =474 x 1 = 474

LCM(948,474) = ( 948 × 474 ) / 474

LCM(948,474) = 449352 / 474

LCM(948,474) = 948


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 2967/948, 6036/474

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 2967/948, 6036/474?

Answer: GCF of Numerators as per given numbers 2967/948, 6036/474 is

GCF of Numerators i.e. for 2967,6036 is 3

LCM of denominators i.e. for 948,474 is 948.

Thus, GCF of Fractions is 3/948.Finally, GCF of Fractions for 2967/948, 6036/474 is 3/948.