Greatest Common Factor of 7991/211, 4905/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7991/211, 4905/997

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 7991/211,4905/997

Given fractions are 7991/211,4905/997

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 7991,4905

Greatest Common Factor of Numerators i.e. GCF of 7991,4905 is 1 .

LCM of Denominators means LCM of 211,997 as per the given fractions.

LCM of 211,997 is 210367 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7991,4905

GCF of Fractions 7991/211,4905/997 is 1/210367

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

Greatest Common Factor of 7991,4905 By Matching Biggest Common Factor Method

Greatest Common Factor of 7991,4905 By Matching Biggest Common Factor Method

Factors of 7991

List of positive integer factors of 7991 that divides 7991 without a remainder.

1,61,131,7991

Factors of 4905

List of positive integer factors of 4905 that divides 4905 without a remainder.

1,3,5,9,15,45,109,327,545,981,1635,4905

Greatest Common Factor

We found the factors 7991,4905 . The biggest common factor number is the GCF number.
So the greatest common factor 7991,4905 is 1.

Lets's calculate LCM of 211,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 210367

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210367

Therefore, the GCF of Fractions 7991/211,4905/997 is 1/210367

Least Common Multiple of 211,997 with GCF Formula

Least Common Multiple of 211,997 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 211,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,997) = 1

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

GCF(211,997) x common factors =1 x 1 = 1

LCM(211,997) = ( 211 × 997 ) / 1

LCM(211,997) = 210367 / 1

LCM(211,997) = 210367


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 7991/211, 4905/997

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 7991/211, 4905/997?

Answer: GCF of Numerators as per given numbers 7991/211, 4905/997 is

GCF of Numerators i.e. for 7991,4905 is 1

LCM of denominators i.e. for 211,997 is 210367.

Thus, GCF of Fractions is 1/210367.Finally, GCF of Fractions for 7991/211, 4905/997 is 1/210367.