Greatest Common Factor of 23/297, 52/407, 627/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 23/297, 52/407, 627/155

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 23/297,52/407,627/155

Given fractions are 23/297,52/407,627/155

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 23,52,627

Greatest Common Factor of Numerators i.e. GCF of 23,52,627 is 1 .

LCM of Denominators means LCM of 297,407,155 as per the given fractions.

LCM of 297,407,155 is 1703295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 23,52,627

GCF of Fractions 23/297,52/407,627/155 is 1/1703295

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

Greatest Common Factor of 23,52,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,52,627 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 23,52,627 . The biggest common factor number is the GCF number.
So the greatest common factor 23,52,627 is 1.

Lets's calculate LCM of 297,407,155

11 297, 407, 155
27, 37, 155

∴ So the LCM of the given numbers is 11 x 27 x 37 x 155 = 1703295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1703295

Therefore, the GCF of Fractions 23/297,52/407,627/155 is 1/1703295

Least Common Multiple of 297,407,155 with GCF Formula

Least Common Multiple of 297,407,155 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 297,407,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,407,155) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(297,407,155) x common factors =1 x 11 = 11

LCM(297,407,155) = ( 297 × 407 × 155 ) / 11

LCM(297,407,155) = 18736245 / 11

LCM(297,407,155) = 1703295


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 23/297, 52/407, 627/155

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 23/297, 52/407, 627/155?

Answer: GCF of Numerators as per given numbers 23/297, 52/407, 627/155 is

GCF of Numerators i.e. for 23,52,627 is 1

LCM of denominators i.e. for 297,407,155 is 1703295.

Thus, GCF of Fractions is 1/1703295.Finally, GCF of Fractions for 23/297, 52/407, 627/155 is 1/1703295.