Greatest Common Factor of 2344/375, 7136/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2344/375, 7136/834

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 2344/375,7136/834

Given fractions are 2344/375,7136/834

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 2344,7136

Greatest Common Factor of Numerators i.e. GCF of 2344,7136 is 8 .

LCM of Denominators means LCM of 375,834 as per the given fractions.

LCM of 375,834 is 104250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2344,7136

GCF of Fractions 2344/375,7136/834 is 8/104250

2 2344, 7136
2 1172, 3568
2 586, 1784
293, 892

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2344,7136 By Matching Biggest Common Factor Method

Greatest Common Factor of 2344,7136 By Matching Biggest Common Factor Method

Factors of 2344

List of positive integer factors of 2344 that divides 2344 without a remainder.

1,2,4,8,293,586,1172,2344

Factors of 7136

List of positive integer factors of 7136 that divides 7136 without a remainder.

1,2,4,8,16,32,223,446,892,1784,3568,7136

Greatest Common Factor

We found the factors 2344,7136 . The biggest common factor number is the GCF number.
So the greatest common factor 2344,7136 is 8.

Lets's calculate LCM of 375,834

3 375, 834
125, 278

∴ So the LCM of the given numbers is 3 x 125 x 278 = 104250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/104250

Therefore, the GCF of Fractions 2344/375,7136/834 is 8/104250

Least Common Multiple of 375,834 with GCF Formula

Least Common Multiple of 375,834 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 375,834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(375,834) = 3

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

GCF(375,834) x common factors =3 x 1 = 3

LCM(375,834) = ( 375 × 834 ) / 3

LCM(375,834) = 312750 / 3

LCM(375,834) = 104250


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 2344/375, 7136/834

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 2344/375, 7136/834?

Answer: GCF of Numerators as per given numbers 2344/375, 7136/834 is

GCF of Numerators i.e. for 2344,7136 is 8

LCM of denominators i.e. for 375,834 is 104250.

Thus, GCF of Fractions is 8/104250.Finally, GCF of Fractions for 2344/375, 7136/834 is 8/104250.