Greatest Common Factor of 1094/987, 6152/4758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1094/987, 6152/4758

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 1094/987,6152/4758

Given fractions are 1094/987,6152/4758

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 1094,6152

Greatest Common Factor of Numerators i.e. GCF of 1094,6152 is 2 .

LCM of Denominators means LCM of 987,4758 as per the given fractions.

LCM of 987,4758 is 1565382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1094,6152

GCF of Fractions 1094/987,6152/4758 is 2/1565382

2 1094, 6152
547, 3076

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

Greatest Common Factor of 1094,6152 By Matching Biggest Common Factor Method

Greatest Common Factor of 1094,6152 By Matching Biggest Common Factor Method

Factors of 1094

List of positive integer factors of 1094 that divides 1094 without a remainder.

1,2,547,1094

Factors of 6152

List of positive integer factors of 6152 that divides 6152 without a remainder.

1,2,4,8,769,1538,3076,6152

Greatest Common Factor

We found the factors 1094,6152 . The biggest common factor number is the GCF number.
So the greatest common factor 1094,6152 is 2.

Lets's calculate LCM of 987,4758

3 987, 4758
329, 1586

∴ So the LCM of the given numbers is 3 x 329 x 1586 = 1565382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1565382

Therefore, the GCF of Fractions 1094/987,6152/4758 is 2/1565382

Least Common Multiple of 987,4758 with GCF Formula

Least Common Multiple of 987,4758 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 987,4758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,4758) = 3

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

GCF(987,4758) x common factors =3 x 1 = 3

LCM(987,4758) = ( 987 × 4758 ) / 3

LCM(987,4758) = 4696146 / 3

LCM(987,4758) = 1565382


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 1094/987, 6152/4758

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 1094/987, 6152/4758?

Answer: GCF of Numerators as per given numbers 1094/987, 6152/4758 is

GCF of Numerators i.e. for 1094,6152 is 2

LCM of denominators i.e. for 987,4758 is 1565382.

Thus, GCF of Fractions is 2/1565382.Finally, GCF of Fractions for 1094/987, 6152/4758 is 2/1565382.