Greatest Common Factor of 6872/33, 4289/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6872/33, 4289/826

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 6872/33,4289/826

Given fractions are 6872/33,4289/826

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 6872,4289

Greatest Common Factor of Numerators i.e. GCF of 6872,4289 is 1 .

LCM of Denominators means LCM of 33,826 as per the given fractions.

LCM of 33,826 is 27258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6872,4289

GCF of Fractions 6872/33,4289/826 is 1/27258

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

Greatest Common Factor of 6872,4289 By Matching Biggest Common Factor Method

Greatest Common Factor of 6872,4289 By Matching Biggest Common Factor Method

Factors of 6872

List of positive integer factors of 6872 that divides 6872 without a remainder.

1,2,4,8,859,1718,3436,6872

Factors of 4289

List of positive integer factors of 4289 that divides 4289 without a remainder.

1,4289

Greatest Common Factor

We found the factors 6872,4289 . The biggest common factor number is the GCF number.
So the greatest common factor 6872,4289 is 1.

Lets's calculate LCM of 33,826

Given numbers has no common factors except 1. So, there LCM is their product i.e 27258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27258

Therefore, the GCF of Fractions 6872/33,4289/826 is 1/27258

Least Common Multiple of 33,826 with GCF Formula

Least Common Multiple of 33,826 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 33,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,826) = 1

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

GCF(33,826) x common factors =1 x 1 = 1

LCM(33,826) = ( 33 × 826 ) / 1

LCM(33,826) = 27258 / 1

LCM(33,826) = 27258


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 6872/33, 4289/826

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 6872/33, 4289/826?

Answer: GCF of Numerators as per given numbers 6872/33, 4289/826 is

GCF of Numerators i.e. for 6872,4289 is 1

LCM of denominators i.e. for 33,826 is 27258.

Thus, GCF of Fractions is 1/27258.Finally, GCF of Fractions for 6872/33, 4289/826 is 1/27258.