Greatest Common Factor of 45/13, 656/40, 540/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/13, 656/40, 540/223

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 45/13,656/40,540/223

Given fractions are 45/13,656/40,540/223

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 45,656,540

Greatest Common Factor of Numerators i.e. GCF of 45,656,540 is 1 .

LCM of Denominators means LCM of 13,40,223 as per the given fractions.

LCM of 13,40,223 is 115960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,656,540

GCF of Fractions 45/13,656/40,540/223 is 1/115960

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

Greatest Common Factor of 45,656,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,656,540 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 45,656,540 . The biggest common factor number is the GCF number.
So the greatest common factor 45,656,540 is 1.

Lets's calculate LCM of 13,40,223

Given numbers has no common factors except 1. So, there LCM is their product i.e 115960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115960

Therefore, the GCF of Fractions 45/13,656/40,540/223 is 1/115960

Least Common Multiple of 13,40,223 with GCF Formula

Least Common Multiple of 13,40,223 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 13,40,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,40,223) = 1

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

GCF(13,40,223) x common factors =1 x 1 = 1

LCM(13,40,223) = ( 13 × 40 × 223 ) / 1

LCM(13,40,223) = 115960 / 1

LCM(13,40,223) = 115960


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 45/13, 656/40, 540/223

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 45/13, 656/40, 540/223?

Answer: GCF of Numerators as per given numbers 45/13, 656/40, 540/223 is

GCF of Numerators i.e. for 45,656,540 is 1

LCM of denominators i.e. for 13,40,223 is 115960.

Thus, GCF of Fractions is 1/115960.Finally, GCF of Fractions for 45/13, 656/40, 540/223 is 1/115960.