Greatest Common Factor of 4395/53, 1529/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4395/53, 1529/912

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 4395/53,1529/912

Given fractions are 4395/53,1529/912

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 4395,1529

Greatest Common Factor of Numerators i.e. GCF of 4395,1529 is 1 .

LCM of Denominators means LCM of 53,912 as per the given fractions.

LCM of 53,912 is 48336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4395,1529

GCF of Fractions 4395/53,1529/912 is 1/48336

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

Greatest Common Factor of 4395,1529 By Matching Biggest Common Factor Method

Greatest Common Factor of 4395,1529 By Matching Biggest Common Factor Method

Factors of 4395

List of positive integer factors of 4395 that divides 4395 without a remainder.

1,3,5,15,293,879,1465,4395

Factors of 1529

List of positive integer factors of 1529 that divides 1529 without a remainder.

1,11,139,1529

Greatest Common Factor

We found the factors 4395,1529 . The biggest common factor number is the GCF number.
So the greatest common factor 4395,1529 is 1.

Lets's calculate LCM of 53,912

Given numbers has no common factors except 1. So, there LCM is their product i.e 48336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48336

Therefore, the GCF of Fractions 4395/53,1529/912 is 1/48336

Least Common Multiple of 53,912 with GCF Formula

Least Common Multiple of 53,912 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 53,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,912) = 1

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

GCF(53,912) x common factors =1 x 1 = 1

LCM(53,912) = ( 53 × 912 ) / 1

LCM(53,912) = 48336 / 1

LCM(53,912) = 48336


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 4395/53, 1529/912

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 4395/53, 1529/912?

Answer: GCF of Numerators as per given numbers 4395/53, 1529/912 is

GCF of Numerators i.e. for 4395,1529 is 1

LCM of denominators i.e. for 53,912 is 48336.

Thus, GCF of Fractions is 1/48336.Finally, GCF of Fractions for 4395/53, 1529/912 is 1/48336.