Greatest Common Factor of 429/75, 143/6416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 429/75, 143/6416

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 429/75,143/6416

Given fractions are 429/75,143/6416

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 429,143

Greatest Common Factor of Numerators i.e. GCF of 429,143 is 143 .

LCM of Denominators means LCM of 75,6416 as per the given fractions.

LCM of 75,6416 is 481200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 429,143

GCF of Fractions 429/75,143/6416 is 143/481200

11 429, 143
13 39, 13
3, 1

∴ So the GCF of the given numbers is 11 x 13 = 143

Greatest Common Factor of 429,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,143 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 429,143 . The biggest common factor number is the GCF number.
So the greatest common factor 429,143 is 143.

Lets's calculate LCM of 75,6416

Given numbers has no common factors except 1. So, there LCM is their product i.e 481200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 143/481200

Therefore, the GCF of Fractions 429/75,143/6416 is 143/481200

Least Common Multiple of 75,6416 with GCF Formula

Least Common Multiple of 75,6416 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 75,6416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,6416) = 1

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

GCF(75,6416) x common factors =1 x 1 = 1

LCM(75,6416) = ( 75 × 6416 ) / 1

LCM(75,6416) = 481200 / 1

LCM(75,6416) = 481200


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 429/75, 143/6416

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 429/75, 143/6416?

Answer: GCF of Numerators as per given numbers 429/75, 143/6416 is

GCF of Numerators i.e. for 429,143 is 143

LCM of denominators i.e. for 75,6416 is 481200.

Thus, GCF of Fractions is 143/481200.Finally, GCF of Fractions for 429/75, 143/6416 is 143/481200.