Greatest Common Factor of 289/844, 3824/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 289/844, 3824/340

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 289/844,3824/340

Given fractions are 289/844,3824/340

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 289,3824

Greatest Common Factor of Numerators i.e. GCF of 289,3824 is 1 .

LCM of Denominators means LCM of 844,340 as per the given fractions.

LCM of 844,340 is 71740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 289,3824

GCF of Fractions 289/844,3824/340 is 1/71740

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

Greatest Common Factor of 289,3824 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,3824 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 3824

List of positive integer factors of 3824 that divides 3824 without a remainder.

1,2,4,8,16,239,478,956,1912,3824

Greatest Common Factor

We found the factors 289,3824 . The biggest common factor number is the GCF number.
So the greatest common factor 289,3824 is 1.

Lets's calculate LCM of 844,340

2 844, 340
2 422, 170
211, 85

∴ So the LCM of the given numbers is 2 x 2 x 211 x 85 = 71740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71740

Therefore, the GCF of Fractions 289/844,3824/340 is 1/71740

Least Common Multiple of 844,340 with GCF Formula

Least Common Multiple of 844,340 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 844,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,340) = 4

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

GCF(844,340) x common factors =4 x 1 = 4

LCM(844,340) = ( 844 × 340 ) / 4

LCM(844,340) = 286960 / 4

LCM(844,340) = 71740


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 289/844, 3824/340

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 289/844, 3824/340?

Answer: GCF of Numerators as per given numbers 289/844, 3824/340 is

GCF of Numerators i.e. for 289,3824 is 1

LCM of denominators i.e. for 844,340 is 71740.

Thus, GCF of Fractions is 1/71740.Finally, GCF of Fractions for 289/844, 3824/340 is 1/71740.