Greatest Common Factor of 838/265, 2289/7172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 838/265, 2289/7172

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 838/265,2289/7172

Given fractions are 838/265,2289/7172

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 838,2289

Greatest Common Factor of Numerators i.e. GCF of 838,2289 is 1 .

LCM of Denominators means LCM of 265,7172 as per the given fractions.

LCM of 265,7172 is 1900580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 838,2289

GCF of Fractions 838/265,2289/7172 is 1/1900580

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

Greatest Common Factor of 838,2289 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,2289 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 2289

List of positive integer factors of 2289 that divides 2289 without a remainder.

1,3,7,21,109,327,763,2289

Greatest Common Factor

We found the factors 838,2289 . The biggest common factor number is the GCF number.
So the greatest common factor 838,2289 is 1.

Lets's calculate LCM of 265,7172

Given numbers has no common factors except 1. So, there LCM is their product i.e 1900580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1900580

Therefore, the GCF of Fractions 838/265,2289/7172 is 1/1900580

Least Common Multiple of 265,7172 with GCF Formula

Least Common Multiple of 265,7172 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 265,7172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,7172) = 1

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

GCF(265,7172) x common factors =1 x 1 = 1

LCM(265,7172) = ( 265 × 7172 ) / 1

LCM(265,7172) = 1900580 / 1

LCM(265,7172) = 1900580


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 838/265, 2289/7172

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 838/265, 2289/7172?

Answer: GCF of Numerators as per given numbers 838/265, 2289/7172 is

GCF of Numerators i.e. for 838,2289 is 1

LCM of denominators i.e. for 265,7172 is 1900580.

Thus, GCF of Fractions is 1/1900580.Finally, GCF of Fractions for 838/265, 2289/7172 is 1/1900580.