Greatest Common Factor of 5280/221, 1164/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5280/221, 1164/122

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 5280/221,1164/122

Given fractions are 5280/221,1164/122

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 5280,1164

Greatest Common Factor of Numerators i.e. GCF of 5280,1164 is 12 .

LCM of Denominators means LCM of 221,122 as per the given fractions.

LCM of 221,122 is 26962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5280,1164

GCF of Fractions 5280/221,1164/122 is 12/26962

2 5280, 1164
2 2640, 582
3 1320, 291
440, 97

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 5280,1164 By Matching Biggest Common Factor Method

Greatest Common Factor of 5280,1164 By Matching Biggest Common Factor Method

Factors of 5280

List of positive integer factors of 5280 that divides 5280 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,32,33,40,44,48,55,60,66,80,88,96,110,120,132,160,165,176,220,240,264,330,352,440,480,528,660,880,1056,1320,1760,2640,5280

Factors of 1164

List of positive integer factors of 1164 that divides 1164 without a remainder.

1,2,3,4,6,12,97,194,291,388,582,1164

Greatest Common Factor

We found the factors 5280,1164 . The biggest common factor number is the GCF number.
So the greatest common factor 5280,1164 is 12.

Lets's calculate LCM of 221,122

Given numbers has no common factors except 1. So, there LCM is their product i.e 26962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/26962

Therefore, the GCF of Fractions 5280/221,1164/122 is 12/26962

Least Common Multiple of 221,122 with GCF Formula

Least Common Multiple of 221,122 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 221,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,122) = 1

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

GCF(221,122) x common factors =1 x 1 = 1

LCM(221,122) = ( 221 × 122 ) / 1

LCM(221,122) = 26962 / 1

LCM(221,122) = 26962


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 5280/221, 1164/122

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 5280/221, 1164/122?

Answer: GCF of Numerators as per given numbers 5280/221, 1164/122 is

GCF of Numerators i.e. for 5280,1164 is 12

LCM of denominators i.e. for 221,122 is 26962.

Thus, GCF of Fractions is 12/26962.Finally, GCF of Fractions for 5280/221, 1164/122 is 12/26962.