Greatest Common Factor of 5561/220, 9060/515

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5561/220, 9060/515

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 5561/220,9060/515

Given fractions are 5561/220,9060/515

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 5561,9060

Greatest Common Factor of Numerators i.e. GCF of 5561,9060 is 1 .

LCM of Denominators means LCM of 220,515 as per the given fractions.

LCM of 220,515 is 22660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5561,9060

GCF of Fractions 5561/220,9060/515 is 1/22660

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

Greatest Common Factor of 5561,9060 By Matching Biggest Common Factor Method

Greatest Common Factor of 5561,9060 By Matching Biggest Common Factor Method

Factors of 5561

List of positive integer factors of 5561 that divides 5561 without a remainder.

1,67,83,5561

Factors of 9060

List of positive integer factors of 9060 that divides 9060 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,151,302,453,604,755,906,1510,1812,2265,3020,4530,9060

Greatest Common Factor

We found the factors 5561,9060 . The biggest common factor number is the GCF number.
So the greatest common factor 5561,9060 is 1.

Lets's calculate LCM of 220,515

5 220, 515
44, 103

∴ So the LCM of the given numbers is 5 x 44 x 103 = 22660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22660

Therefore, the GCF of Fractions 5561/220,9060/515 is 1/22660

Least Common Multiple of 220,515 with GCF Formula

Least Common Multiple of 220,515 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 220,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,515) = 5

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

GCF(220,515) x common factors =5 x 1 = 5

LCM(220,515) = ( 220 × 515 ) / 5

LCM(220,515) = 113300 / 5

LCM(220,515) = 22660


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 5561/220, 9060/515

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 5561/220, 9060/515?

Answer: GCF of Numerators as per given numbers 5561/220, 9060/515 is

GCF of Numerators i.e. for 5561,9060 is 1

LCM of denominators i.e. for 220,515 is 22660.

Thus, GCF of Fractions is 1/22660.Finally, GCF of Fractions for 5561/220, 9060/515 is 1/22660.