Greatest Common Factor of 268/34, 9902/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 268/34, 9902/732

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 268/34,9902/732

Given fractions are 268/34,9902/732

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 268,9902

Greatest Common Factor of Numerators i.e. GCF of 268,9902 is 2 .

LCM of Denominators means LCM of 34,732 as per the given fractions.

LCM of 34,732 is 12444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 268,9902

GCF of Fractions 268/34,9902/732 is 2/12444

2 268, 9902
134, 4951

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

Greatest Common Factor of 268,9902 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,9902 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 9902

List of positive integer factors of 9902 that divides 9902 without a remainder.

1,2,4951,9902

Greatest Common Factor

We found the factors 268,9902 . The biggest common factor number is the GCF number.
So the greatest common factor 268,9902 is 2.

Lets's calculate LCM of 34,732

2 34, 732
17, 366

∴ So the LCM of the given numbers is 2 x 17 x 366 = 12444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12444

Therefore, the GCF of Fractions 268/34,9902/732 is 2/12444

Least Common Multiple of 34,732 with GCF Formula

Least Common Multiple of 34,732 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 34,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,732) = 2

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

GCF(34,732) x common factors =2 x 1 = 2

LCM(34,732) = ( 34 × 732 ) / 2

LCM(34,732) = 24888 / 2

LCM(34,732) = 12444


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 268/34, 9902/732

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 268/34, 9902/732?

Answer: GCF of Numerators as per given numbers 268/34, 9902/732 is

GCF of Numerators i.e. for 268,9902 is 2

LCM of denominators i.e. for 34,732 is 12444.

Thus, GCF of Fractions is 2/12444.Finally, GCF of Fractions for 268/34, 9902/732 is 2/12444.