Greatest Common Factor of 2265/222, 5523/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2265/222, 5523/155

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 2265/222,5523/155

Given fractions are 2265/222,5523/155

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 2265,5523

Greatest Common Factor of Numerators i.e. GCF of 2265,5523 is 3 .

LCM of Denominators means LCM of 222,155 as per the given fractions.

LCM of 222,155 is 34410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2265,5523

GCF of Fractions 2265/222,5523/155 is 3/34410

3 2265, 5523
755, 1841

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2265,5523 By Matching Biggest Common Factor Method

Greatest Common Factor of 2265,5523 By Matching Biggest Common Factor Method

Factors of 2265

List of positive integer factors of 2265 that divides 2265 without a remainder.

1,3,5,15,151,453,755,2265

Factors of 5523

List of positive integer factors of 5523 that divides 5523 without a remainder.

1,3,7,21,263,789,1841,5523

Greatest Common Factor

We found the factors 2265,5523 . The biggest common factor number is the GCF number.
So the greatest common factor 2265,5523 is 3.

Lets's calculate LCM of 222,155

Given numbers has no common factors except 1. So, there LCM is their product i.e 34410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/34410

Therefore, the GCF of Fractions 2265/222,5523/155 is 3/34410

Least Common Multiple of 222,155 with GCF Formula

Least Common Multiple of 222,155 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 222,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,155) = 1

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

GCF(222,155) x common factors =1 x 1 = 1

LCM(222,155) = ( 222 × 155 ) / 1

LCM(222,155) = 34410 / 1

LCM(222,155) = 34410


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 2265/222, 5523/155

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 2265/222, 5523/155?

Answer: GCF of Numerators as per given numbers 2265/222, 5523/155 is

GCF of Numerators i.e. for 2265,5523 is 3

LCM of denominators i.e. for 222,155 is 34410.

Thus, GCF of Fractions is 3/34410.Finally, GCF of Fractions for 2265/222, 5523/155 is 3/34410.