Greatest Common Factor of 991/59, 649/1551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/59, 649/1551

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 991/59,649/1551

Given fractions are 991/59,649/1551

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 991,649

Greatest Common Factor of Numerators i.e. GCF of 991,649 is 1 .

LCM of Denominators means LCM of 59,1551 as per the given fractions.

LCM of 59,1551 is 91509 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,649

GCF of Fractions 991/59,649/1551 is 1/91509

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

Greatest Common Factor of 991,649 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,649 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 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Greatest Common Factor

We found the factors 991,649 . The biggest common factor number is the GCF number.
So the greatest common factor 991,649 is 1.

Lets's calculate LCM of 59,1551

Given numbers has no common factors except 1. So, there LCM is their product i.e 91509

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91509

Therefore, the GCF of Fractions 991/59,649/1551 is 1/91509

Least Common Multiple of 59,1551 with GCF Formula

Least Common Multiple of 59,1551 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 59,1551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,1551) = 1

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

GCF(59,1551) x common factors =1 x 1 = 1

LCM(59,1551) = ( 59 × 1551 ) / 1

LCM(59,1551) = 91509 / 1

LCM(59,1551) = 91509


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 991/59, 649/1551

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 991/59, 649/1551?

Answer: GCF of Numerators as per given numbers 991/59, 649/1551 is

GCF of Numerators i.e. for 991,649 is 1

LCM of denominators i.e. for 59,1551 is 91509.

Thus, GCF of Fractions is 1/91509.Finally, GCF of Fractions for 991/59, 649/1551 is 1/91509.