Greatest Common Factor of 5780/813, 9408/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5780/813, 9408/509

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 5780/813,9408/509

Given fractions are 5780/813,9408/509

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 5780,9408

Greatest Common Factor of Numerators i.e. GCF of 5780,9408 is 4 .

LCM of Denominators means LCM of 813,509 as per the given fractions.

LCM of 813,509 is 413817 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5780,9408

GCF of Fractions 5780/813,9408/509 is 4/413817

2 5780, 9408
2 2890, 4704
1445, 2352

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5780,9408 By Matching Biggest Common Factor Method

Greatest Common Factor of 5780,9408 By Matching Biggest Common Factor Method

Factors of 5780

List of positive integer factors of 5780 that divides 5780 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780

Factors of 9408

List of positive integer factors of 9408 that divides 9408 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,64,84,96,98,112,147,168,192,196,224,294,336,392,448,588,672,784,1176,1344,1568,2352,3136,4704,9408

Greatest Common Factor

We found the factors 5780,9408 . The biggest common factor number is the GCF number.
So the greatest common factor 5780,9408 is 4.

Lets's calculate LCM of 813,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 413817

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/413817

Therefore, the GCF of Fractions 5780/813,9408/509 is 4/413817

Least Common Multiple of 813,509 with GCF Formula

Least Common Multiple of 813,509 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 813,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,509) = 1

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

GCF(813,509) x common factors =1 x 1 = 1

LCM(813,509) = ( 813 × 509 ) / 1

LCM(813,509) = 413817 / 1

LCM(813,509) = 413817


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 5780/813, 9408/509

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 5780/813, 9408/509?

Answer: GCF of Numerators as per given numbers 5780/813, 9408/509 is

GCF of Numerators i.e. for 5780,9408 is 4

LCM of denominators i.e. for 813,509 is 413817.

Thus, GCF of Fractions is 4/413817.Finally, GCF of Fractions for 5780/813, 9408/509 is 4/413817.