Greatest Common Factor of 209/95, 597/7913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 209/95, 597/7913

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 209/95,597/7913

Given fractions are 209/95,597/7913

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 209,597

Greatest Common Factor of Numerators i.e. GCF of 209,597 is 1 .

LCM of Denominators means LCM of 95,7913 as per the given fractions.

LCM of 95,7913 is 751735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 209,597

GCF of Fractions 209/95,597/7913 is 1/751735

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

Greatest Common Factor of 209,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,597 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 209,597 . The biggest common factor number is the GCF number.
So the greatest common factor 209,597 is 1.


Lets's calculate LCM of 95,7913

Given numbers has no common factors except 1. So, there LCM is their product i.e 751735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/751735

Therefore, the GCF of Fractions 209/95,597/7913 is 1/751735

Least Common Multiple of 95,7913 with GCF Formula

Least Common Multiple of 95,7913 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 95,7913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,7913) = 1

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

GCF(95,7913) x common factors =1 x 1 = 1

LCM(95,7913) = ( 95 × 7913 ) / 1

LCM(95,7913) = 751735 / 1

LCM(95,7913) = 751735


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 209/95, 597/7913

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 209/95, 597/7913?

Answer: GCF of Numerators as per given numbers 209/95, 597/7913 is

GCF of Numerators i.e. for 209,597 is 1

LCM of denominators i.e. for 95,7913 is 751735.

Thus, GCF of Fractions is 1/751735.Finally, GCF of Fractions for 209/95, 597/7913 is 1/751735.