Greatest Common Factor of 2529/53, 3938/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2529/53, 3938/734

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 2529/53,3938/734

Given fractions are 2529/53,3938/734

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 2529,3938

Greatest Common Factor of Numerators i.e. GCF of 2529,3938 is 1 .

LCM of Denominators means LCM of 53,734 as per the given fractions.

LCM of 53,734 is 38902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2529,3938

GCF of Fractions 2529/53,3938/734 is 1/38902

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

Greatest Common Factor of 2529,3938 By Matching Biggest Common Factor Method

Greatest Common Factor of 2529,3938 By Matching Biggest Common Factor Method

Factors of 2529

List of positive integer factors of 2529 that divides 2529 without a remainder.

1,3,9,281,843,2529

Factors of 3938

List of positive integer factors of 3938 that divides 3938 without a remainder.

1,2,11,22,179,358,1969,3938

Greatest Common Factor

We found the factors 2529,3938 . The biggest common factor number is the GCF number.
So the greatest common factor 2529,3938 is 1.

Lets's calculate LCM of 53,734

Given numbers has no common factors except 1. So, there LCM is their product i.e 38902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38902

Therefore, the GCF of Fractions 2529/53,3938/734 is 1/38902

Least Common Multiple of 53,734 with GCF Formula

Least Common Multiple of 53,734 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 53,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,734) = 1

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

GCF(53,734) x common factors =1 x 1 = 1

LCM(53,734) = ( 53 × 734 ) / 1

LCM(53,734) = 38902 / 1

LCM(53,734) = 38902


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 2529/53, 3938/734

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 2529/53, 3938/734?

Answer: GCF of Numerators as per given numbers 2529/53, 3938/734 is

GCF of Numerators i.e. for 2529,3938 is 1

LCM of denominators i.e. for 53,734 is 38902.

Thus, GCF of Fractions is 1/38902.Finally, GCF of Fractions for 2529/53, 3938/734 is 1/38902.