Greatest Common Factor of 629/235, 2668/3405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 629/235, 2668/3405

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 629/235,2668/3405

Given fractions are 629/235,2668/3405

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 629,2668

Greatest Common Factor of Numerators i.e. GCF of 629,2668 is 1 .

LCM of Denominators means LCM of 235,3405 as per the given fractions.

LCM of 235,3405 is 160035 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 629,2668

GCF of Fractions 629/235,2668/3405 is 1/160035

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

Greatest Common Factor of 629,2668 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,2668 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 2668

List of positive integer factors of 2668 that divides 2668 without a remainder.

1,2,4,23,29,46,58,92,116,667,1334,2668

Greatest Common Factor

We found the factors 629,2668 . The biggest common factor number is the GCF number.
So the greatest common factor 629,2668 is 1.

Lets's calculate LCM of 235,3405

5 235, 3405
47, 681

∴ So the LCM of the given numbers is 5 x 47 x 681 = 160035

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160035

Therefore, the GCF of Fractions 629/235,2668/3405 is 1/160035

Least Common Multiple of 235,3405 with GCF Formula

Least Common Multiple of 235,3405 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 235,3405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,3405) = 5

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

GCF(235,3405) x common factors =5 x 1 = 5

LCM(235,3405) = ( 235 × 3405 ) / 5

LCM(235,3405) = 800175 / 5

LCM(235,3405) = 160035


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 629/235, 2668/3405

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 629/235, 2668/3405?

Answer: GCF of Numerators as per given numbers 629/235, 2668/3405 is

GCF of Numerators i.e. for 629,2668 is 1

LCM of denominators i.e. for 235,3405 is 160035.

Thus, GCF of Fractions is 1/160035.Finally, GCF of Fractions for 629/235, 2668/3405 is 1/160035.