Greatest Common Factor of 338/9898, 715/7650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 338/9898, 715/7650

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 338/9898,715/7650

Given fractions are 338/9898,715/7650

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 338,715

Greatest Common Factor of Numerators i.e. GCF of 338,715 is 13 .

LCM of Denominators means LCM of 9898,7650 as per the given fractions.

LCM of 9898,7650 is 37859850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 338,715

GCF of Fractions 338/9898,715/7650 is 13/37859850

13 338, 715
26, 55

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 338,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,715 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 338,715 . The biggest common factor number is the GCF number.
So the greatest common factor 338,715 is 13.

Lets's calculate LCM of 9898,7650

2 9898, 7650
4949, 3825

∴ So the LCM of the given numbers is 2 x 4949 x 3825 = 37859850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/37859850

Therefore, the GCF of Fractions 338/9898,715/7650 is 13/37859850

Least Common Multiple of 9898,7650 with GCF Formula

Least Common Multiple of 9898,7650 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 9898,7650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9898,7650) = 2

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

GCF(9898,7650) x common factors =2 x 1 = 2

LCM(9898,7650) = ( 9898 × 7650 ) / 2

LCM(9898,7650) = 75719700 / 2

LCM(9898,7650) = 37859850


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 338/9898, 715/7650

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 338/9898, 715/7650?

Answer: GCF of Numerators as per given numbers 338/9898, 715/7650 is

GCF of Numerators i.e. for 338,715 is 13

LCM of denominators i.e. for 9898,7650 is 37859850.

Thus, GCF of Fractions is 13/37859850.Finally, GCF of Fractions for 338/9898, 715/7650 is 13/37859850.