Greatest Common Factor of 409/75, 334/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 409/75, 334/429

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 409/75,334/429

Given fractions are 409/75,334/429

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 409,334

Greatest Common Factor of Numerators i.e. GCF of 409,334 is 1 .

LCM of Denominators means LCM of 75,429 as per the given fractions.

LCM of 75,429 is 10725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 409,334

GCF of Fractions 409/75,334/429 is 1/10725

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

Greatest Common Factor of 409,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,334 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 409,334 . The biggest common factor number is the GCF number.
So the greatest common factor 409,334 is 1.

Lets's calculate LCM of 75,429

3 75, 429
25, 143

∴ So the LCM of the given numbers is 3 x 25 x 143 = 10725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10725

Therefore, the GCF of Fractions 409/75,334/429 is 1/10725

Least Common Multiple of 75,429 with GCF Formula

Least Common Multiple of 75,429 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 75,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,429) = 3

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

GCF(75,429) x common factors =3 x 1 = 3

LCM(75,429) = ( 75 × 429 ) / 3

LCM(75,429) = 32175 / 3

LCM(75,429) = 10725


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 409/75, 334/429

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 409/75, 334/429?

Answer: GCF of Numerators as per given numbers 409/75, 334/429 is

GCF of Numerators i.e. for 409,334 is 1

LCM of denominators i.e. for 75,429 is 10725.

Thus, GCF of Fractions is 1/10725.Finally, GCF of Fractions for 409/75, 334/429 is 1/10725.