Greatest Common Factor of 1896/66, 5637/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1896/66, 5637/268

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 1896/66,5637/268

Given fractions are 1896/66,5637/268

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 1896,5637

Greatest Common Factor of Numerators i.e. GCF of 1896,5637 is 3 .

LCM of Denominators means LCM of 66,268 as per the given fractions.

LCM of 66,268 is 8844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1896,5637

GCF of Fractions 1896/66,5637/268 is 3/8844

3 1896, 5637
632, 1879

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

Greatest Common Factor of 1896,5637 By Matching Biggest Common Factor Method

Greatest Common Factor of 1896,5637 By Matching Biggest Common Factor Method

Factors of 1896

List of positive integer factors of 1896 that divides 1896 without a remainder.

1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896

Factors of 5637

List of positive integer factors of 5637 that divides 5637 without a remainder.

1,3,1879,5637

Greatest Common Factor

We found the factors 1896,5637 . The biggest common factor number is the GCF number.
So the greatest common factor 1896,5637 is 3.

Lets's calculate LCM of 66,268

2 66, 268
33, 134

∴ So the LCM of the given numbers is 2 x 33 x 134 = 8844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8844

Therefore, the GCF of Fractions 1896/66,5637/268 is 3/8844

Least Common Multiple of 66,268 with GCF Formula

Least Common Multiple of 66,268 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 66,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,268) = 2

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

GCF(66,268) x common factors =2 x 1 = 2

LCM(66,268) = ( 66 × 268 ) / 2

LCM(66,268) = 17688 / 2

LCM(66,268) = 8844


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 1896/66, 5637/268

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 1896/66, 5637/268?

Answer: GCF of Numerators as per given numbers 1896/66, 5637/268 is

GCF of Numerators i.e. for 1896,5637 is 3

LCM of denominators i.e. for 66,268 is 8844.

Thus, GCF of Fractions is 3/8844.Finally, GCF of Fractions for 1896/66, 5637/268 is 3/8844.