Greatest Common Factor of 991/744, 209/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/744, 209/698

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 991/744,209/698

Given fractions are 991/744,209/698

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 991,209

Greatest Common Factor of Numerators i.e. GCF of 991,209 is 1 .

LCM of Denominators means LCM of 744,698 as per the given fractions.

LCM of 744,698 is 259656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,209

GCF of Fractions 991/744,209/698 is 1/259656

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

Greatest Common Factor of 991,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,209 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 209

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

1,11,19,209

Greatest Common Factor

We found the factors 991,209 . The biggest common factor number is the GCF number.
So the greatest common factor 991,209 is 1.

Lets's calculate LCM of 744,698

2 744, 698
372, 349

∴ So the LCM of the given numbers is 2 x 372 x 349 = 259656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/259656

Therefore, the GCF of Fractions 991/744,209/698 is 1/259656

Least Common Multiple of 744,698 with GCF Formula

Least Common Multiple of 744,698 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 744,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,698) = 2

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

GCF(744,698) x common factors =2 x 1 = 2

LCM(744,698) = ( 744 × 698 ) / 2

LCM(744,698) = 519312 / 2

LCM(744,698) = 259656


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 991/744, 209/698

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 991/744, 209/698?

Answer: GCF of Numerators as per given numbers 991/744, 209/698 is

GCF of Numerators i.e. for 991,209 is 1

LCM of denominators i.e. for 744,698 is 259656.

Thus, GCF of Fractions is 1/259656.Finally, GCF of Fractions for 991/744, 209/698 is 1/259656.