Greatest Common Factor of 9709/221, 5289/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9709/221, 5289/220

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 9709/221,5289/220

Given fractions are 9709/221,5289/220

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 9709,5289

Greatest Common Factor of Numerators i.e. GCF of 9709,5289 is 1 .

LCM of Denominators means LCM of 221,220 as per the given fractions.

LCM of 221,220 is 48620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9709,5289

GCF of Fractions 9709/221,5289/220 is 1/48620

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

Greatest Common Factor of 9709,5289 By Matching Biggest Common Factor Method

Greatest Common Factor of 9709,5289 By Matching Biggest Common Factor Method

Factors of 9709

List of positive integer factors of 9709 that divides 9709 without a remainder.

1,7,19,73,133,511,1387,9709

Factors of 5289

List of positive integer factors of 5289 that divides 5289 without a remainder.

1,3,41,43,123,129,1763,5289

Greatest Common Factor

We found the factors 9709,5289 . The biggest common factor number is the GCF number.
So the greatest common factor 9709,5289 is 1.

Lets's calculate LCM of 221,220

Given numbers has no common factors except 1. So, there LCM is their product i.e 48620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48620

Therefore, the GCF of Fractions 9709/221,5289/220 is 1/48620

Least Common Multiple of 221,220 with GCF Formula

Least Common Multiple of 221,220 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 221,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,220) = 1

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

GCF(221,220) x common factors =1 x 1 = 1

LCM(221,220) = ( 221 × 220 ) / 1

LCM(221,220) = 48620 / 1

LCM(221,220) = 48620


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 9709/221, 5289/220

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 9709/221, 5289/220?

Answer: GCF of Numerators as per given numbers 9709/221, 5289/220 is

GCF of Numerators i.e. for 9709,5289 is 1

LCM of denominators i.e. for 221,220 is 48620.

Thus, GCF of Fractions is 1/48620.Finally, GCF of Fractions for 9709/221, 5289/220 is 1/48620.