Greatest Common Factor of 3580/305, 2319/7656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3580/305, 2319/7656

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 3580/305,2319/7656

Given fractions are 3580/305,2319/7656

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 3580,2319

Greatest Common Factor of Numerators i.e. GCF of 3580,2319 is 1 .

LCM of Denominators means LCM of 305,7656 as per the given fractions.

LCM of 305,7656 is 2335080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3580,2319

GCF of Fractions 3580/305,2319/7656 is 1/2335080

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3580,2319 By Matching Biggest Common Factor Method

Greatest Common Factor of 3580,2319 By Matching Biggest Common Factor Method

Factors of 3580

List of positive integer factors of 3580 that divides 3580 without a remainder.

1,2,4,5,10,20,179,358,716,895,1790,3580

Factors of 2319

List of positive integer factors of 2319 that divides 2319 without a remainder.

1,3,773,2319

Greatest Common Factor

We found the factors 3580,2319 . The biggest common factor number is the GCF number.
So the greatest common factor 3580,2319 is 1.

Lets's calculate LCM of 305,7656

Given numbers has no common factors except 1. So, there LCM is their product i.e 2335080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2335080

Therefore, the GCF of Fractions 3580/305,2319/7656 is 1/2335080

Least Common Multiple of 305,7656 with GCF Formula

Least Common Multiple of 305,7656 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 305,7656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,7656) = 1

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

GCF(305,7656) x common factors =1 x 1 = 1

LCM(305,7656) = ( 305 × 7656 ) / 1

LCM(305,7656) = 2335080 / 1

LCM(305,7656) = 2335080


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 3580/305, 2319/7656

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 3580/305, 2319/7656?

Answer: GCF of Numerators as per given numbers 3580/305, 2319/7656 is

GCF of Numerators i.e. for 3580,2319 is 1

LCM of denominators i.e. for 305,7656 is 2335080.

Thus, GCF of Fractions is 1/2335080.Finally, GCF of Fractions for 3580/305, 2319/7656 is 1/2335080.