Greatest Common Factor of 9741/293, 7618/6382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9741/293, 7618/6382

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 9741/293,7618/6382

Given fractions are 9741/293,7618/6382

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 9741,7618

Greatest Common Factor of Numerators i.e. GCF of 9741,7618 is 1 .

LCM of Denominators means LCM of 293,6382 as per the given fractions.

LCM of 293,6382 is 1869926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9741,7618

GCF of Fractions 9741/293,7618/6382 is 1/1869926

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

Greatest Common Factor of 9741,7618 By Matching Biggest Common Factor Method

Greatest Common Factor of 9741,7618 By Matching Biggest Common Factor Method

Factors of 9741

List of positive integer factors of 9741 that divides 9741 without a remainder.

1,3,17,51,191,573,3247,9741

Factors of 7618

List of positive integer factors of 7618 that divides 7618 without a remainder.

1,2,13,26,293,586,3809,7618

Greatest Common Factor

We found the factors 9741,7618 . The biggest common factor number is the GCF number.
So the greatest common factor 9741,7618 is 1.

Lets's calculate LCM of 293,6382

Given numbers has no common factors except 1. So, there LCM is their product i.e 1869926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1869926

Therefore, the GCF of Fractions 9741/293,7618/6382 is 1/1869926

Least Common Multiple of 293,6382 with GCF Formula

Least Common Multiple of 293,6382 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 293,6382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,6382) = 1

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

GCF(293,6382) x common factors =1 x 1 = 1

LCM(293,6382) = ( 293 × 6382 ) / 1

LCM(293,6382) = 1869926 / 1

LCM(293,6382) = 1869926


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 9741/293, 7618/6382

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 9741/293, 7618/6382?

Answer: GCF of Numerators as per given numbers 9741/293, 7618/6382 is

GCF of Numerators i.e. for 9741,7618 is 1

LCM of denominators i.e. for 293,6382 is 1869926.

Thus, GCF of Fractions is 1/1869926.Finally, GCF of Fractions for 9741/293, 7618/6382 is 1/1869926.