Greatest Common Factor of 326/408, 5740/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 326/408, 5740/786

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 326/408,5740/786

Given fractions are 326/408,5740/786

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 326,5740

Greatest Common Factor of Numerators i.e. GCF of 326,5740 is 2 .

LCM of Denominators means LCM of 408,786 as per the given fractions.

LCM of 408,786 is 53448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 326,5740

GCF of Fractions 326/408,5740/786 is 2/53448

2 326, 5740
163, 2870

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

Greatest Common Factor of 326,5740 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,5740 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 5740

List of positive integer factors of 5740 that divides 5740 without a remainder.

1,2,4,5,7,10,14,20,28,35,41,70,82,140,164,205,287,410,574,820,1148,1435,2870,5740

Greatest Common Factor

We found the factors 326,5740 . The biggest common factor number is the GCF number.
So the greatest common factor 326,5740 is 2.

Lets's calculate LCM of 408,786

2 408, 786
3 204, 393
68, 131

∴ So the LCM of the given numbers is 2 x 3 x 68 x 131 = 53448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/53448

Therefore, the GCF of Fractions 326/408,5740/786 is 2/53448

Least Common Multiple of 408,786 with GCF Formula

Least Common Multiple of 408,786 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 408,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,786) = 6

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

GCF(408,786) x common factors =6 x 1 = 6

LCM(408,786) = ( 408 × 786 ) / 6

LCM(408,786) = 320688 / 6

LCM(408,786) = 53448


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 326/408, 5740/786

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 326/408, 5740/786?

Answer: GCF of Numerators as per given numbers 326/408, 5740/786 is

GCF of Numerators i.e. for 326,5740 is 2

LCM of denominators i.e. for 408,786 is 53448.

Thus, GCF of Fractions is 2/53448.Finally, GCF of Fractions for 326/408, 5740/786 is 2/53448.