Greatest Common Factor of 5274/15, 5725/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5274/15, 5725/669

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 5274/15,5725/669

Given fractions are 5274/15,5725/669

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 5274,5725

Greatest Common Factor of Numerators i.e. GCF of 5274,5725 is 1 .

LCM of Denominators means LCM of 15,669 as per the given fractions.

LCM of 15,669 is 3345 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5274,5725

GCF of Fractions 5274/15,5725/669 is 1/3345

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

Greatest Common Factor of 5274,5725 By Matching Biggest Common Factor Method

Greatest Common Factor of 5274,5725 By Matching Biggest Common Factor Method

Factors of 5274

List of positive integer factors of 5274 that divides 5274 without a remainder.

1,2,3,6,9,18,293,586,879,1758,2637,5274

Factors of 5725

List of positive integer factors of 5725 that divides 5725 without a remainder.

1,5,25,229,1145,5725

Greatest Common Factor

We found the factors 5274,5725 . The biggest common factor number is the GCF number.
So the greatest common factor 5274,5725 is 1.

Lets's calculate LCM of 15,669

3 15, 669
5, 223

∴ So the LCM of the given numbers is 3 x 5 x 223 = 3345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3345

Therefore, the GCF of Fractions 5274/15,5725/669 is 1/3345

Least Common Multiple of 15,669 with GCF Formula

Least Common Multiple of 15,669 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 15,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,669) = 3

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

GCF(15,669) x common factors =3 x 1 = 3

LCM(15,669) = ( 15 × 669 ) / 3

LCM(15,669) = 10035 / 3

LCM(15,669) = 3345


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 5274/15, 5725/669

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 5274/15, 5725/669?

Answer: GCF of Numerators as per given numbers 5274/15, 5725/669 is

GCF of Numerators i.e. for 5274,5725 is 1

LCM of denominators i.e. for 15,669 is 3345.

Thus, GCF of Fractions is 1/3345.Finally, GCF of Fractions for 5274/15, 5725/669 is 1/3345.