Greatest Common Factor of 9581/23, 4108/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9581/23, 4108/678

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 9581/23,4108/678

Given fractions are 9581/23,4108/678

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 9581,4108

Greatest Common Factor of Numerators i.e. GCF of 9581,4108 is 13 .

LCM of Denominators means LCM of 23,678 as per the given fractions.

LCM of 23,678 is 15594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9581,4108

GCF of Fractions 9581/23,4108/678 is 13/15594

13 9581, 4108
737, 316

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

Greatest Common Factor of 9581,4108 By Matching Biggest Common Factor Method

Greatest Common Factor of 9581,4108 By Matching Biggest Common Factor Method

Factors of 9581

List of positive integer factors of 9581 that divides 9581 without a remainder.

1,11,13,67,143,737,871,9581

Factors of 4108

List of positive integer factors of 4108 that divides 4108 without a remainder.

1,2,4,13,26,52,79,158,316,1027,2054,4108

Greatest Common Factor

We found the factors 9581,4108 . The biggest common factor number is the GCF number.
So the greatest common factor 9581,4108 is 13.

Lets's calculate LCM of 23,678

Given numbers has no common factors except 1. So, there LCM is their product i.e 15594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/15594

Therefore, the GCF of Fractions 9581/23,4108/678 is 13/15594

Least Common Multiple of 23,678 with GCF Formula

Least Common Multiple of 23,678 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 23,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,678) = 1

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

GCF(23,678) x common factors =1 x 1 = 1

LCM(23,678) = ( 23 × 678 ) / 1

LCM(23,678) = 15594 / 1

LCM(23,678) = 15594


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 9581/23, 4108/678

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 9581/23, 4108/678?

Answer: GCF of Numerators as per given numbers 9581/23, 4108/678 is

GCF of Numerators i.e. for 9581,4108 is 13

LCM of denominators i.e. for 23,678 is 15594.

Thus, GCF of Fractions is 13/15594.Finally, GCF of Fractions for 9581/23, 4108/678 is 13/15594.