Greatest Common Factor of 9580/43, 9185/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9580/43, 9185/676

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 9580/43,9185/676

Given fractions are 9580/43,9185/676

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 9580,9185

Greatest Common Factor of Numerators i.e. GCF of 9580,9185 is 5 .

LCM of Denominators means LCM of 43,676 as per the given fractions.

LCM of 43,676 is 29068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9580,9185

GCF of Fractions 9580/43,9185/676 is 5/29068

5 9580, 9185
1916, 1837

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9580,9185 By Matching Biggest Common Factor Method

Greatest Common Factor of 9580,9185 By Matching Biggest Common Factor Method

Factors of 9580

List of positive integer factors of 9580 that divides 9580 without a remainder.

1,2,4,5,10,20,479,958,1916,2395,4790,9580

Factors of 9185

List of positive integer factors of 9185 that divides 9185 without a remainder.

1,5,11,55,167,835,1837,9185

Greatest Common Factor

We found the factors 9580,9185 . The biggest common factor number is the GCF number.
So the greatest common factor 9580,9185 is 5.

Lets's calculate LCM of 43,676

Given numbers has no common factors except 1. So, there LCM is their product i.e 29068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/29068

Therefore, the GCF of Fractions 9580/43,9185/676 is 5/29068

Least Common Multiple of 43,676 with GCF Formula

Least Common Multiple of 43,676 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 43,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,676) = 1

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

GCF(43,676) x common factors =1 x 1 = 1

LCM(43,676) = ( 43 × 676 ) / 1

LCM(43,676) = 29068 / 1

LCM(43,676) = 29068


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 9580/43, 9185/676

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 9580/43, 9185/676?

Answer: GCF of Numerators as per given numbers 9580/43, 9185/676 is

GCF of Numerators i.e. for 9580,9185 is 5

LCM of denominators i.e. for 43,676 is 29068.

Thus, GCF of Fractions is 5/29068.Finally, GCF of Fractions for 9580/43, 9185/676 is 5/29068.