Greatest Common Factor of 2360/709, 5384/1246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2360/709, 5384/1246

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 2360/709,5384/1246

Given fractions are 2360/709,5384/1246

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 2360,5384

Greatest Common Factor of Numerators i.e. GCF of 2360,5384 is 8 .

LCM of Denominators means LCM of 709,1246 as per the given fractions.

LCM of 709,1246 is 883414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2360,5384

GCF of Fractions 2360/709,5384/1246 is 8/883414

2 2360, 5384
2 1180, 2692
2 590, 1346
295, 673

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

Greatest Common Factor of 2360,5384 By Matching Biggest Common Factor Method

Greatest Common Factor of 2360,5384 By Matching Biggest Common Factor Method

Factors of 2360

List of positive integer factors of 2360 that divides 2360 without a remainder.

1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360

Factors of 5384

List of positive integer factors of 5384 that divides 5384 without a remainder.

1,2,4,8,673,1346,2692,5384

Greatest Common Factor

We found the factors 2360,5384 . The biggest common factor number is the GCF number.
So the greatest common factor 2360,5384 is 8.

Lets's calculate LCM of 709,1246

Given numbers has no common factors except 1. So, there LCM is their product i.e 883414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/883414

Therefore, the GCF of Fractions 2360/709,5384/1246 is 8/883414

Least Common Multiple of 709,1246 with GCF Formula

Least Common Multiple of 709,1246 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 709,1246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,1246) = 1

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

GCF(709,1246) x common factors =1 x 1 = 1

LCM(709,1246) = ( 709 × 1246 ) / 1

LCM(709,1246) = 883414 / 1

LCM(709,1246) = 883414


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 2360/709, 5384/1246

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 2360/709, 5384/1246?

Answer: GCF of Numerators as per given numbers 2360/709, 5384/1246 is

GCF of Numerators i.e. for 2360,5384 is 8

LCM of denominators i.e. for 709,1246 is 883414.

Thus, GCF of Fractions is 8/883414.Finally, GCF of Fractions for 2360/709, 5384/1246 is 8/883414.