Greatest Common Factor of 91/320, 82/922, 550/550

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 91/320, 82/922, 550/550

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 91/320,82/922,550/550

Given fractions are 91/320,82/922,550/550

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 91,82,550

Greatest Common Factor of Numerators i.e. GCF of 91,82,550 is 1 .

LCM of Denominators means LCM of 320,922,550 as per the given fractions.

LCM of 320,922,550 is 8113600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 91,82,550

GCF of Fractions 91/320,82/922,550/550 is 1/8113600

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

Greatest Common Factor of 91,82,550 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,82,550 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 91,82,550 . The biggest common factor number is the GCF number.
So the greatest common factor 91,82,550 is 1.

Lets's calculate LCM of 320,922,550

2 320, 922, 550
5 160, 461, 275
32, 461, 55

∴ So the LCM of the given numbers is 2 x 5 x 32 x 461 x 55 = 8113600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8113600

Therefore, the GCF of Fractions 91/320,82/922,550/550 is 1/8113600

Least Common Multiple of 320,922,550 with GCF Formula

Least Common Multiple of 320,922,550 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 320,922,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,922,550) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(320,922,550) x common factors =2 x 10 = 20

LCM(320,922,550) = ( 320 × 922 × 550 ) / 20

LCM(320,922,550) = 162272000 / 20

LCM(320,922,550) = 8113600


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 91/320, 82/922, 550/550

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 91/320, 82/922, 550/550?

Answer: GCF of Numerators as per given numbers 91/320, 82/922, 550/550 is

GCF of Numerators i.e. for 91,82,550 is 1

LCM of denominators i.e. for 320,922,550 is 8113600.

Thus, GCF of Fractions is 1/8113600.Finally, GCF of Fractions for 91/320, 82/922, 550/550 is 1/8113600.