Greatest Common Factor of 2629/33, 8507/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2629/33, 8507/343

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 2629/33,8507/343

Given fractions are 2629/33,8507/343

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 2629,8507

Greatest Common Factor of Numerators i.e. GCF of 2629,8507 is 1 .

LCM of Denominators means LCM of 33,343 as per the given fractions.

LCM of 33,343 is 11319 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2629,8507

GCF of Fractions 2629/33,8507/343 is 1/11319

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

Greatest Common Factor of 2629,8507 By Matching Biggest Common Factor Method

Greatest Common Factor of 2629,8507 By Matching Biggest Common Factor Method

Factors of 2629

List of positive integer factors of 2629 that divides 2629 without a remainder.

1,11,239,2629

Factors of 8507

List of positive integer factors of 8507 that divides 8507 without a remainder.

1,47,181,8507

Greatest Common Factor

We found the factors 2629,8507 . The biggest common factor number is the GCF number.
So the greatest common factor 2629,8507 is 1.

Lets's calculate LCM of 33,343

Given numbers has no common factors except 1. So, there LCM is their product i.e 11319

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11319

Therefore, the GCF of Fractions 2629/33,8507/343 is 1/11319

Least Common Multiple of 33,343 with GCF Formula

Least Common Multiple of 33,343 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 33,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,343) = 1

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

GCF(33,343) x common factors =1 x 1 = 1

LCM(33,343) = ( 33 × 343 ) / 1

LCM(33,343) = 11319 / 1

LCM(33,343) = 11319


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 2629/33, 8507/343

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 2629/33, 8507/343?

Answer: GCF of Numerators as per given numbers 2629/33, 8507/343 is

GCF of Numerators i.e. for 2629,8507 is 1

LCM of denominators i.e. for 33,343 is 11319.

Thus, GCF of Fractions is 1/11319.Finally, GCF of Fractions for 2629/33, 8507/343 is 1/11319.