Greatest Common Factor of 780/282, 3200/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 780/282, 3200/408

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 780/282,3200/408

Given fractions are 780/282,3200/408

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 780,3200

Greatest Common Factor of Numerators i.e. GCF of 780,3200 is 20 .

LCM of Denominators means LCM of 282,408 as per the given fractions.

LCM of 282,408 is 19176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 780,3200

GCF of Fractions 780/282,3200/408 is 20/19176

2 780, 3200
2 390, 1600
5 195, 800
39, 160

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 780,3200 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,3200 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 3200

List of positive integer factors of 3200 that divides 3200 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,320,400,640,800,1600,3200

Greatest Common Factor

We found the factors 780,3200 . The biggest common factor number is the GCF number.
So the greatest common factor 780,3200 is 20.

Lets's calculate LCM of 282,408

2 282, 408
3 141, 204
47, 68

∴ So the LCM of the given numbers is 2 x 3 x 47 x 68 = 19176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/19176

Therefore, the GCF of Fractions 780/282,3200/408 is 20/19176

Least Common Multiple of 282,408 with GCF Formula

Least Common Multiple of 282,408 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 282,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,408) = 6

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

GCF(282,408) x common factors =6 x 1 = 6

LCM(282,408) = ( 282 × 408 ) / 6

LCM(282,408) = 115056 / 6

LCM(282,408) = 19176


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 780/282, 3200/408

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 780/282, 3200/408?

Answer: GCF of Numerators as per given numbers 780/282, 3200/408 is

GCF of Numerators i.e. for 780,3200 is 20

LCM of denominators i.e. for 282,408 is 19176.

Thus, GCF of Fractions is 20/19176.Finally, GCF of Fractions for 780/282, 3200/408 is 20/19176.