Greatest Common Factor of 7403/137, 9858/9612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7403/137, 9858/9612

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 7403/137,9858/9612

Given fractions are 7403/137,9858/9612

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 7403,9858

Greatest Common Factor of Numerators i.e. GCF of 7403,9858 is 1 .

LCM of Denominators means LCM of 137,9612 as per the given fractions.

LCM of 137,9612 is 1316844 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7403,9858

GCF of Fractions 7403/137,9858/9612 is 1/1316844

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7403,9858 By Matching Biggest Common Factor Method

Greatest Common Factor of 7403,9858 By Matching Biggest Common Factor Method

Factors of 7403

List of positive integer factors of 7403 that divides 7403 without a remainder.

1,11,673,7403

Factors of 9858

List of positive integer factors of 9858 that divides 9858 without a remainder.

1,2,3,6,31,53,62,93,106,159,186,318,1643,3286,4929,9858

Greatest Common Factor

We found the factors 7403,9858 . The biggest common factor number is the GCF number.
So the greatest common factor 7403,9858 is 1.

Lets's calculate LCM of 137,9612

Given numbers has no common factors except 1. So, there LCM is their product i.e 1316844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1316844

Therefore, the GCF of Fractions 7403/137,9858/9612 is 1/1316844

Least Common Multiple of 137,9612 with GCF Formula

Least Common Multiple of 137,9612 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 137,9612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,9612) = 1

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

GCF(137,9612) x common factors =1 x 1 = 1

LCM(137,9612) = ( 137 × 9612 ) / 1

LCM(137,9612) = 1316844 / 1

LCM(137,9612) = 1316844


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 7403/137, 9858/9612

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 7403/137, 9858/9612?

Answer: GCF of Numerators as per given numbers 7403/137, 9858/9612 is

GCF of Numerators i.e. for 7403,9858 is 1

LCM of denominators i.e. for 137,9612 is 1316844.

Thus, GCF of Fractions is 1/1316844.Finally, GCF of Fractions for 7403/137, 9858/9612 is 1/1316844.