Greatest Common Factor of 629/780, 272/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 629/780, 272/359

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 629/780,272/359

Given fractions are 629/780,272/359

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 629,272

Greatest Common Factor of Numerators i.e. GCF of 629,272 is 17 .

LCM of Denominators means LCM of 780,359 as per the given fractions.

LCM of 780,359 is 280020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 629,272

GCF of Fractions 629/780,272/359 is 17/280020

17 629, 272
37, 16

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 629,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,272 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 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 629,272 . The biggest common factor number is the GCF number.
So the greatest common factor 629,272 is 17.

Lets's calculate LCM of 780,359

Given numbers has no common factors except 1. So, there LCM is their product i.e 280020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/280020

Therefore, the GCF of Fractions 629/780,272/359 is 17/280020

Least Common Multiple of 780,359 with GCF Formula

Least Common Multiple of 780,359 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 780,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,359) = 1

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

GCF(780,359) x common factors =1 x 1 = 1

LCM(780,359) = ( 780 × 359 ) / 1

LCM(780,359) = 280020 / 1

LCM(780,359) = 280020


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 629/780, 272/359

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 629/780, 272/359?

Answer: GCF of Numerators as per given numbers 629/780, 272/359 is

GCF of Numerators i.e. for 629,272 is 17

LCM of denominators i.e. for 780,359 is 280020.

Thus, GCF of Fractions is 17/280020.Finally, GCF of Fractions for 629/780, 272/359 is 17/280020.