Greatest Common Factor of 9897/71, 8411/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9897/71, 8411/221

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 9897/71,8411/221

Given fractions are 9897/71,8411/221

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 9897,8411

Greatest Common Factor of Numerators i.e. GCF of 9897,8411 is 1 .

LCM of Denominators means LCM of 71,221 as per the given fractions.

LCM of 71,221 is 15691 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9897,8411

GCF of Fractions 9897/71,8411/221 is 1/15691

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

Greatest Common Factor of 9897,8411 By Matching Biggest Common Factor Method

Greatest Common Factor of 9897,8411 By Matching Biggest Common Factor Method

Factors of 9897

List of positive integer factors of 9897 that divides 9897 without a remainder.

1,3,3299,9897

Factors of 8411

List of positive integer factors of 8411 that divides 8411 without a remainder.

1,13,647,8411

Greatest Common Factor

We found the factors 9897,8411 . The biggest common factor number is the GCF number.
So the greatest common factor 9897,8411 is 1.

Lets's calculate LCM of 71,221

Given numbers has no common factors except 1. So, there LCM is their product i.e 15691

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15691

Therefore, the GCF of Fractions 9897/71,8411/221 is 1/15691

Least Common Multiple of 71,221 with GCF Formula

Least Common Multiple of 71,221 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 71,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,221) = 1

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

GCF(71,221) x common factors =1 x 1 = 1

LCM(71,221) = ( 71 × 221 ) / 1

LCM(71,221) = 15691 / 1

LCM(71,221) = 15691


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 9897/71, 8411/221

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 9897/71, 8411/221?

Answer: GCF of Numerators as per given numbers 9897/71, 8411/221 is

GCF of Numerators i.e. for 9897,8411 is 1

LCM of denominators i.e. for 71,221 is 15691.

Thus, GCF of Fractions is 1/15691.Finally, GCF of Fractions for 9897/71, 8411/221 is 1/15691.