Greatest Common Factor of 2771/97, 5211/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2771/97, 5211/997

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 2771/97,5211/997

Given fractions are 2771/97,5211/997

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 2771,5211

Greatest Common Factor of Numerators i.e. GCF of 2771,5211 is 1 .

LCM of Denominators means LCM of 97,997 as per the given fractions.

LCM of 97,997 is 96709 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2771,5211

GCF of Fractions 2771/97,5211/997 is 1/96709

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

Greatest Common Factor of 2771,5211 By Matching Biggest Common Factor Method

Greatest Common Factor of 2771,5211 By Matching Biggest Common Factor Method

Factors of 2771

List of positive integer factors of 2771 that divides 2771 without a remainder.

1,17,163,2771

Factors of 5211

List of positive integer factors of 5211 that divides 5211 without a remainder.

1,3,9,27,193,579,1737,5211

Greatest Common Factor

We found the factors 2771,5211 . The biggest common factor number is the GCF number.
So the greatest common factor 2771,5211 is 1.

Lets's calculate LCM of 97,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 96709

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96709

Therefore, the GCF of Fractions 2771/97,5211/997 is 1/96709

Least Common Multiple of 97,997 with GCF Formula

Least Common Multiple of 97,997 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 97,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,997) = 1

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

GCF(97,997) x common factors =1 x 1 = 1

LCM(97,997) = ( 97 × 997 ) / 1

LCM(97,997) = 96709 / 1

LCM(97,997) = 96709


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 2771/97, 5211/997

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 2771/97, 5211/997?

Answer: GCF of Numerators as per given numbers 2771/97, 5211/997 is

GCF of Numerators i.e. for 2771,5211 is 1

LCM of denominators i.e. for 97,997 is 96709.

Thus, GCF of Fractions is 1/96709.Finally, GCF of Fractions for 2771/97, 5211/997 is 1/96709.