Greatest Common Factor of 13/429, 754/192, 635/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/429, 754/192, 635/384

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 13/429,754/192,635/384

Given fractions are 13/429,754/192,635/384

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 13,754,635

Greatest Common Factor of Numerators i.e. GCF of 13,754,635 is 1 .

LCM of Denominators means LCM of 429,192,384 as per the given fractions.

LCM of 429,192,384 is 54912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,754,635

GCF of Fractions 13/429,754/192,635/384 is 1/54912

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

Greatest Common Factor of 13,754,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,754,635 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 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 13,754,635 . The biggest common factor number is the GCF number.
So the greatest common factor 13,754,635 is 1.

Lets's calculate LCM of 429,192,384

2 429, 192, 384
2 429, 96, 192
2 429, 48, 96
2 429, 24, 48
2 429, 12, 24
2 429, 6, 12
3 429, 3, 6
143, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 143 x 1 x 2 = 54912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54912

Therefore, the GCF of Fractions 13/429,754/192,635/384 is 1/54912

Least Common Multiple of 429,192,384 with GCF Formula

Least Common Multiple of 429,192,384 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 429,192,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,192,384) = 3

common factors(in case of two or more numbers have common factors) = 192

GCF(429,192,384) x common factors =3 x 192 = 576

LCM(429,192,384) = ( 429 × 192 × 384 ) / 576

LCM(429,192,384) = 31629312 / 576

LCM(429,192,384) = 54912


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 13/429, 754/192, 635/384

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 13/429, 754/192, 635/384?

Answer: GCF of Numerators as per given numbers 13/429, 754/192, 635/384 is

GCF of Numerators i.e. for 13,754,635 is 1

LCM of denominators i.e. for 429,192,384 is 54912.

Thus, GCF of Fractions is 1/54912.Finally, GCF of Fractions for 13/429, 754/192, 635/384 is 1/54912.