Greatest Common Factor of 9084/62, 2852/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9084/62, 2852/966

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 9084/62,2852/966

Given fractions are 9084/62,2852/966

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 9084,2852

Greatest Common Factor of Numerators i.e. GCF of 9084,2852 is 4 .

LCM of Denominators means LCM of 62,966 as per the given fractions.

LCM of 62,966 is 29946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9084,2852

GCF of Fractions 9084/62,2852/966 is 4/29946

2 9084, 2852
2 4542, 1426
2271, 713

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9084,2852 By Matching Biggest Common Factor Method

Greatest Common Factor of 9084,2852 By Matching Biggest Common Factor Method

Factors of 9084

List of positive integer factors of 9084 that divides 9084 without a remainder.

1,2,3,4,6,12,757,1514,2271,3028,4542,9084

Factors of 2852

List of positive integer factors of 2852 that divides 2852 without a remainder.

1,2,4,23,31,46,62,92,124,713,1426,2852

Greatest Common Factor

We found the factors 9084,2852 . The biggest common factor number is the GCF number.
So the greatest common factor 9084,2852 is 4.

Lets's calculate LCM of 62,966

2 62, 966
31, 483

∴ So the LCM of the given numbers is 2 x 31 x 483 = 29946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29946

Therefore, the GCF of Fractions 9084/62,2852/966 is 4/29946

Least Common Multiple of 62,966 with GCF Formula

Least Common Multiple of 62,966 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 62,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,966) = 2

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

GCF(62,966) x common factors =2 x 1 = 2

LCM(62,966) = ( 62 × 966 ) / 2

LCM(62,966) = 59892 / 2

LCM(62,966) = 29946


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 9084/62, 2852/966

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 9084/62, 2852/966?

Answer: GCF of Numerators as per given numbers 9084/62, 2852/966 is

GCF of Numerators i.e. for 9084,2852 is 4

LCM of denominators i.e. for 62,966 is 29946.

Thus, GCF of Fractions is 4/29946.Finally, GCF of Fractions for 9084/62, 2852/966 is 4/29946.