Greatest Common Factor of 13/529, 975/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/529, 975/305

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 13/529,975/305

Given fractions are 13/529,975/305

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 13,975

Greatest Common Factor of Numerators i.e. GCF of 13,975 is 13 .

LCM of Denominators means LCM of 529,305 as per the given fractions.

LCM of 529,305 is 161345 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,975

GCF of Fractions 13/529,975/305 is 13/161345

13 13, 975
1, 75

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 13,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,975 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 13,975 . The biggest common factor number is the GCF number.
So the greatest common factor 13,975 is 13.

Lets's calculate LCM of 529,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 161345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/161345

Therefore, the GCF of Fractions 13/529,975/305 is 13/161345

Least Common Multiple of 529,305 with GCF Formula

Least Common Multiple of 529,305 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 529,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,305) = 1

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

GCF(529,305) x common factors =1 x 1 = 1

LCM(529,305) = ( 529 × 305 ) / 1

LCM(529,305) = 161345 / 1

LCM(529,305) = 161345


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 13/529, 975/305

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 13/529, 975/305?

Answer: GCF of Numerators as per given numbers 13/529, 975/305 is

GCF of Numerators i.e. for 13,975 is 13

LCM of denominators i.e. for 529,305 is 161345.

Thus, GCF of Fractions is 13/161345.Finally, GCF of Fractions for 13/529, 975/305 is 13/161345.