Greatest Common Factor of 2108/718, 2482/8373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2108/718, 2482/8373

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 2108/718,2482/8373

Given fractions are 2108/718,2482/8373

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 2108,2482

Greatest Common Factor of Numerators i.e. GCF of 2108,2482 is 34 .

LCM of Denominators means LCM of 718,8373 as per the given fractions.

LCM of 718,8373 is 6011814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2108,2482

GCF of Fractions 2108/718,2482/8373 is 34/6011814

2 2108, 2482
17 1054, 1241
62, 73

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 2108,2482 By Matching Biggest Common Factor Method

Greatest Common Factor of 2108,2482 By Matching Biggest Common Factor Method

Factors of 2108

List of positive integer factors of 2108 that divides 2108 without a remainder.

1,2,4,17,31,34,62,68,124,527,1054,2108

Factors of 2482

List of positive integer factors of 2482 that divides 2482 without a remainder.

1,2,17,34,73,146,1241,2482

Greatest Common Factor

We found the factors 2108,2482 . The biggest common factor number is the GCF number.
So the greatest common factor 2108,2482 is 34.

Lets's calculate LCM of 718,8373

Given numbers has no common factors except 1. So, there LCM is their product i.e 6011814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/6011814

Therefore, the GCF of Fractions 2108/718,2482/8373 is 34/6011814

Least Common Multiple of 718,8373 with GCF Formula

Least Common Multiple of 718,8373 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 718,8373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,8373) = 1

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

GCF(718,8373) x common factors =1 x 1 = 1

LCM(718,8373) = ( 718 × 8373 ) / 1

LCM(718,8373) = 6011814 / 1

LCM(718,8373) = 6011814


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 2108/718, 2482/8373

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 2108/718, 2482/8373?

Answer: GCF of Numerators as per given numbers 2108/718, 2482/8373 is

GCF of Numerators i.e. for 2108,2482 is 34

LCM of denominators i.e. for 718,8373 is 6011814.

Thus, GCF of Fractions is 34/6011814.Finally, GCF of Fractions for 2108/718, 2482/8373 is 34/6011814.