Greatest Common Factor of 134/429, 588/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 134/429, 588/643

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 134/429,588/643

Given fractions are 134/429,588/643

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 134,588

Greatest Common Factor of Numerators i.e. GCF of 134,588 is 2 .

LCM of Denominators means LCM of 429,643 as per the given fractions.

LCM of 429,643 is 275847 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 134,588

GCF of Fractions 134/429,588/643 is 2/275847

2 134, 588
67, 294

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 134,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,588 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 134,588 . The biggest common factor number is the GCF number.
So the greatest common factor 134,588 is 2.

Lets's calculate LCM of 429,643

Given numbers has no common factors except 1. So, there LCM is their product i.e 275847

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/275847

Therefore, the GCF of Fractions 134/429,588/643 is 2/275847

Least Common Multiple of 429,643 with GCF Formula

Least Common Multiple of 429,643 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 429,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,643) = 1

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

GCF(429,643) x common factors =1 x 1 = 1

LCM(429,643) = ( 429 × 643 ) / 1

LCM(429,643) = 275847 / 1

LCM(429,643) = 275847


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 134/429, 588/643

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 134/429, 588/643?

Answer: GCF of Numerators as per given numbers 134/429, 588/643 is

GCF of Numerators i.e. for 134,588 is 2

LCM of denominators i.e. for 429,643 is 275847.

Thus, GCF of Fractions is 2/275847.Finally, GCF of Fractions for 134/429, 588/643 is 2/275847.