Greatest Common Factor of 791/221, 9500/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 791/221, 9500/629

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 791/221,9500/629

Given fractions are 791/221,9500/629

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 791,9500

Greatest Common Factor of Numerators i.e. GCF of 791,9500 is 1 .

LCM of Denominators means LCM of 221,629 as per the given fractions.

LCM of 221,629 is 8177 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 791,9500

GCF of Fractions 791/221,9500/629 is 1/8177

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

Greatest Common Factor of 791,9500 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,9500 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

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

Greatest Common Factor

We found the factors 791,9500 . The biggest common factor number is the GCF number.
So the greatest common factor 791,9500 is 1.

Lets's calculate LCM of 221,629

17 221, 629
13, 37

∴ So the LCM of the given numbers is 17 x 13 x 37 = 8177

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8177

Therefore, the GCF of Fractions 791/221,9500/629 is 1/8177

Least Common Multiple of 221,629 with GCF Formula

Least Common Multiple of 221,629 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 221,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,629) = 17

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

GCF(221,629) x common factors =17 x 1 = 17

LCM(221,629) = ( 221 × 629 ) / 17

LCM(221,629) = 139009 / 17

LCM(221,629) = 8177


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 791/221, 9500/629

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 791/221, 9500/629?

Answer: GCF of Numerators as per given numbers 791/221, 9500/629 is

GCF of Numerators i.e. for 791,9500 is 1

LCM of denominators i.e. for 221,629 is 8177.

Thus, GCF of Fractions is 1/8177.Finally, GCF of Fractions for 791/221, 9500/629 is 1/8177.