Greatest Common Factor of 991/90, 369/53, 949/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/90, 369/53, 949/652

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 991/90,369/53,949/652

Given fractions are 991/90,369/53,949/652

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 991,369,949

Greatest Common Factor of Numerators i.e. GCF of 991,369,949 is 1 .

LCM of Denominators means LCM of 90,53,652 as per the given fractions.

LCM of 90,53,652 is 1555020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,369,949

GCF of Fractions 991/90,369/53,949/652 is 1/1555020

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

Greatest Common Factor of 991,369,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,369,949 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 991,369,949 . The biggest common factor number is the GCF number.
So the greatest common factor 991,369,949 is 1.

Lets's calculate LCM of 90,53,652

2 90, 53, 652
45, 53, 326

∴ So the LCM of the given numbers is 2 x 45 x 53 x 326 = 1555020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1555020

Therefore, the GCF of Fractions 991/90,369/53,949/652 is 1/1555020

Least Common Multiple of 90,53,652 with GCF Formula

Least Common Multiple of 90,53,652 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 90,53,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,53,652) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(90,53,652) x common factors =1 x 2 = 2

LCM(90,53,652) = ( 90 × 53 × 652 ) / 2

LCM(90,53,652) = 3110040 / 2

LCM(90,53,652) = 1555020


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 991/90, 369/53, 949/652

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 991/90, 369/53, 949/652?

Answer: GCF of Numerators as per given numbers 991/90, 369/53, 949/652 is

GCF of Numerators i.e. for 991,369,949 is 1

LCM of denominators i.e. for 90,53,652 is 1555020.

Thus, GCF of Fractions is 1/1555020.Finally, GCF of Fractions for 991/90, 369/53, 949/652 is 1/1555020.