Greatest Common Factor of 561/9884, 221/7057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 561/9884, 221/7057

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 561/9884,221/7057

Given fractions are 561/9884,221/7057

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 561,221

Greatest Common Factor of Numerators i.e. GCF of 561,221 is 17 .

LCM of Denominators means LCM of 9884,7057 as per the given fractions.

LCM of 9884,7057 is 69751388 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 561,221

GCF of Fractions 561/9884,221/7057 is 17/69751388

17 561, 221
33, 13

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 561,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,221 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 561,221 . The biggest common factor number is the GCF number.
So the greatest common factor 561,221 is 17.

Lets's calculate LCM of 9884,7057

Given numbers has no common factors except 1. So, there LCM is their product i.e 69751388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/69751388

Therefore, the GCF of Fractions 561/9884,221/7057 is 17/69751388

Least Common Multiple of 9884,7057 with GCF Formula

Least Common Multiple of 9884,7057 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 9884,7057 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9884,7057) = 1

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

GCF(9884,7057) x common factors =1 x 1 = 1

LCM(9884,7057) = ( 9884 × 7057 ) / 1

LCM(9884,7057) = 69751388 / 1

LCM(9884,7057) = 69751388


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 561/9884, 221/7057

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 561/9884, 221/7057?

Answer: GCF of Numerators as per given numbers 561/9884, 221/7057 is

GCF of Numerators i.e. for 561,221 is 17

LCM of denominators i.e. for 9884,7057 is 69751388.

Thus, GCF of Fractions is 17/69751388.Finally, GCF of Fractions for 561/9884, 221/7057 is 17/69751388.