Greatest Common Factor of 48/157, 3698/6898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/157, 3698/6898

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 48/157,3698/6898

Given fractions are 48/157,3698/6898

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 48,3698

Greatest Common Factor of Numerators i.e. GCF of 48,3698 is 2 .

LCM of Denominators means LCM of 157,6898 as per the given fractions.

LCM of 157,6898 is 1082986 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,3698

GCF of Fractions 48/157,3698/6898 is 2/1082986

2 48, 3698
24, 1849

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

Greatest Common Factor of 48,3698 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,3698 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 3698

List of positive integer factors of 3698 that divides 3698 without a remainder.

1,2,43,86,1849,3698

Greatest Common Factor

We found the factors 48,3698 . The biggest common factor number is the GCF number.
So the greatest common factor 48,3698 is 2.

Lets's calculate LCM of 157,6898

Given numbers has no common factors except 1. So, there LCM is their product i.e 1082986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1082986

Therefore, the GCF of Fractions 48/157,3698/6898 is 2/1082986

Least Common Multiple of 157,6898 with GCF Formula

Least Common Multiple of 157,6898 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 157,6898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,6898) = 1

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

GCF(157,6898) x common factors =1 x 1 = 1

LCM(157,6898) = ( 157 × 6898 ) / 1

LCM(157,6898) = 1082986 / 1

LCM(157,6898) = 1082986


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 48/157, 3698/6898

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 48/157, 3698/6898?

Answer: GCF of Numerators as per given numbers 48/157, 3698/6898 is

GCF of Numerators i.e. for 48,3698 is 2

LCM of denominators i.e. for 157,6898 is 1082986.

Thus, GCF of Fractions is 2/1082986.Finally, GCF of Fractions for 48/157, 3698/6898 is 2/1082986.