Greatest Common Factor of 991/203, 899/512, 820/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 991/203, 899/512, 820/501

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 991/203,899/512,820/501

Given fractions are 991/203,899/512,820/501

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 991,899,820

Greatest Common Factor of Numerators i.e. GCF of 991,899,820 is 1 .

LCM of Denominators means LCM of 203,512,501 as per the given fractions.

LCM of 203,512,501 is 52071936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 991,899,820

GCF of Fractions 991/203,899/512,820/501 is 1/52071936

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

Greatest Common Factor of 991,899,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,899,820 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 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 991,899,820 . The biggest common factor number is the GCF number.
So the greatest common factor 991,899,820 is 1.

Lets's calculate LCM of 203,512,501

Given numbers has no common factors except 1. So, there LCM is their product i.e 52071936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52071936

Therefore, the GCF of Fractions 991/203,899/512,820/501 is 1/52071936

Least Common Multiple of 203,512,501 with GCF Formula

Least Common Multiple of 203,512,501 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 203,512,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,512,501) = 1

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

GCF(203,512,501) x common factors =1 x 1 = 1

LCM(203,512,501) = ( 203 × 512 × 501 ) / 1

LCM(203,512,501) = 52071936 / 1

LCM(203,512,501) = 52071936


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 991/203, 899/512, 820/501

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 991/203, 899/512, 820/501?

Answer: GCF of Numerators as per given numbers 991/203, 899/512, 820/501 is

GCF of Numerators i.e. for 991,899,820 is 1

LCM of denominators i.e. for 203,512,501 is 52071936.

Thus, GCF of Fractions is 1/52071936.Finally, GCF of Fractions for 991/203, 899/512, 820/501 is 1/52071936.