Greatest Common Factor of 9023/920, 5610/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9023/920, 5610/255

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 9023/920,5610/255

Given fractions are 9023/920,5610/255

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 9023,5610

Greatest Common Factor of Numerators i.e. GCF of 9023,5610 is 1 .

LCM of Denominators means LCM of 920,255 as per the given fractions.

LCM of 920,255 is 46920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9023,5610

GCF of Fractions 9023/920,5610/255 is 1/46920

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

Greatest Common Factor of 9023,5610 By Matching Biggest Common Factor Method

Greatest Common Factor of 9023,5610 By Matching Biggest Common Factor Method

Factors of 9023

List of positive integer factors of 9023 that divides 9023 without a remainder.

1,7,1289,9023

Factors of 5610

List of positive integer factors of 5610 that divides 5610 without a remainder.

1,2,3,5,6,10,11,15,17,22,30,33,34,51,55,66,85,102,110,165,170,187,255,330,374,510,561,935,1122,1870,2805,5610

Greatest Common Factor

We found the factors 9023,5610 . The biggest common factor number is the GCF number.
So the greatest common factor 9023,5610 is 1.

Lets's calculate LCM of 920,255

5 920, 255
184, 51

∴ So the LCM of the given numbers is 5 x 184 x 51 = 46920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46920

Therefore, the GCF of Fractions 9023/920,5610/255 is 1/46920

Least Common Multiple of 920,255 with GCF Formula

Least Common Multiple of 920,255 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 920,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,255) = 5

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

GCF(920,255) x common factors =5 x 1 = 5

LCM(920,255) = ( 920 × 255 ) / 5

LCM(920,255) = 234600 / 5

LCM(920,255) = 46920


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 9023/920, 5610/255

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 9023/920, 5610/255?

Answer: GCF of Numerators as per given numbers 9023/920, 5610/255 is

GCF of Numerators i.e. for 9023,5610 is 1

LCM of denominators i.e. for 920,255 is 46920.

Thus, GCF of Fractions is 1/46920.Finally, GCF of Fractions for 9023/920, 5610/255 is 1/46920.