Greatest Common Factor of 2380/749, 6694/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2380/749, 6694/323

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 2380/749,6694/323

Given fractions are 2380/749,6694/323

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 2380,6694

Greatest Common Factor of Numerators i.e. GCF of 2380,6694 is 2 .

LCM of Denominators means LCM of 749,323 as per the given fractions.

LCM of 749,323 is 241927 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2380,6694

GCF of Fractions 2380/749,6694/323 is 2/241927

2 2380, 6694
1190, 3347

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

Greatest Common Factor of 2380,6694 By Matching Biggest Common Factor Method

Greatest Common Factor of 2380,6694 By Matching Biggest Common Factor Method

Factors of 2380

List of positive integer factors of 2380 that divides 2380 without a remainder.

1,2,4,5,7,10,14,17,20,28,34,35,68,70,85,119,140,170,238,340,476,595,1190,2380

Factors of 6694

List of positive integer factors of 6694 that divides 6694 without a remainder.

1,2,3347,6694

Greatest Common Factor

We found the factors 2380,6694 . The biggest common factor number is the GCF number.
So the greatest common factor 2380,6694 is 2.

Lets's calculate LCM of 749,323

Given numbers has no common factors except 1. So, there LCM is their product i.e 241927

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/241927

Therefore, the GCF of Fractions 2380/749,6694/323 is 2/241927

Least Common Multiple of 749,323 with GCF Formula

Least Common Multiple of 749,323 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 749,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,323) = 1

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

GCF(749,323) x common factors =1 x 1 = 1

LCM(749,323) = ( 749 × 323 ) / 1

LCM(749,323) = 241927 / 1

LCM(749,323) = 241927


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 2380/749, 6694/323

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 2380/749, 6694/323?

Answer: GCF of Numerators as per given numbers 2380/749, 6694/323 is

GCF of Numerators i.e. for 2380,6694 is 2

LCM of denominators i.e. for 749,323 is 241927.

Thus, GCF of Fractions is 2/241927.Finally, GCF of Fractions for 2380/749, 6694/323 is 2/241927.