Greatest Common Factor of 9500/593, 7679/5268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9500/593, 7679/5268

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 9500/593,7679/5268

Given fractions are 9500/593,7679/5268

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 9500,7679

Greatest Common Factor of Numerators i.e. GCF of 9500,7679 is 1 .

LCM of Denominators means LCM of 593,5268 as per the given fractions.

LCM of 593,5268 is 3123924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9500,7679

GCF of Fractions 9500/593,7679/5268 is 1/3123924

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

Greatest Common Factor of 9500,7679 By Matching Biggest Common Factor Method

Greatest Common Factor of 9500,7679 By Matching Biggest Common Factor Method

Factors of 9500

List of positive integer factors of 9500 that divides 9500 without a remainder.

1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500

Factors of 7679

List of positive integer factors of 7679 that divides 7679 without a remainder.

1,7,1097,7679

Greatest Common Factor

We found the factors 9500,7679 . The biggest common factor number is the GCF number.
So the greatest common factor 9500,7679 is 1.

Lets's calculate LCM of 593,5268

Given numbers has no common factors except 1. So, there LCM is their product i.e 3123924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3123924

Therefore, the GCF of Fractions 9500/593,7679/5268 is 1/3123924

Least Common Multiple of 593,5268 with GCF Formula

Least Common Multiple of 593,5268 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 593,5268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,5268) = 1

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

GCF(593,5268) x common factors =1 x 1 = 1

LCM(593,5268) = ( 593 × 5268 ) / 1

LCM(593,5268) = 3123924 / 1

LCM(593,5268) = 3123924


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 9500/593, 7679/5268

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 9500/593, 7679/5268?

Answer: GCF of Numerators as per given numbers 9500/593, 7679/5268 is

GCF of Numerators i.e. for 9500,7679 is 1

LCM of denominators i.e. for 593,5268 is 3123924.

Thus, GCF of Fractions is 1/3123924.Finally, GCF of Fractions for 9500/593, 7679/5268 is 1/3123924.