Greatest Common Factor of 629/426, 4263/153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 629/426, 4263/153

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 629/426,4263/153

Given fractions are 629/426,4263/153

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 629,4263

Greatest Common Factor of Numerators i.e. GCF of 629,4263 is 1 .

LCM of Denominators means LCM of 426,153 as per the given fractions.

LCM of 426,153 is 21726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 629,4263

GCF of Fractions 629/426,4263/153 is 1/21726

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

Greatest Common Factor of 629,4263 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,4263 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 4263

List of positive integer factors of 4263 that divides 4263 without a remainder.

1,3,7,21,29,49,87,147,203,609,1421,4263

Greatest Common Factor

We found the factors 629,4263 . The biggest common factor number is the GCF number.
So the greatest common factor 629,4263 is 1.

Lets's calculate LCM of 426,153

3 426, 153
142, 51

∴ So the LCM of the given numbers is 3 x 142 x 51 = 21726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21726

Therefore, the GCF of Fractions 629/426,4263/153 is 1/21726

Least Common Multiple of 426,153 with GCF Formula

Least Common Multiple of 426,153 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 426,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,153) = 3

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

GCF(426,153) x common factors =3 x 1 = 3

LCM(426,153) = ( 426 × 153 ) / 3

LCM(426,153) = 65178 / 3

LCM(426,153) = 21726


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 629/426, 4263/153

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 629/426, 4263/153?

Answer: GCF of Numerators as per given numbers 629/426, 4263/153 is

GCF of Numerators i.e. for 629,4263 is 1

LCM of denominators i.e. for 426,153 is 21726.

Thus, GCF of Fractions is 1/21726.Finally, GCF of Fractions for 629/426, 4263/153 is 1/21726.