Greatest Common Factor of 7090/716, 3744/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7090/716, 3744/808

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 7090/716,3744/808

Given fractions are 7090/716,3744/808

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 7090,3744

Greatest Common Factor of Numerators i.e. GCF of 7090,3744 is 2 .

LCM of Denominators means LCM of 716,808 as per the given fractions.

LCM of 716,808 is 144632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7090,3744

GCF of Fractions 7090/716,3744/808 is 2/144632

2 7090, 3744
3545, 1872

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

Greatest Common Factor of 7090,3744 By Matching Biggest Common Factor Method

Greatest Common Factor of 7090,3744 By Matching Biggest Common Factor Method

Factors of 7090

List of positive integer factors of 7090 that divides 7090 without a remainder.

1,2,5,10,709,1418,3545,7090

Factors of 3744

List of positive integer factors of 3744 that divides 3744 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744

Greatest Common Factor

We found the factors 7090,3744 . The biggest common factor number is the GCF number.
So the greatest common factor 7090,3744 is 2.

Lets's calculate LCM of 716,808

2 716, 808
2 358, 404
179, 202

∴ So the LCM of the given numbers is 2 x 2 x 179 x 202 = 144632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/144632

Therefore, the GCF of Fractions 7090/716,3744/808 is 2/144632

Least Common Multiple of 716,808 with GCF Formula

Least Common Multiple of 716,808 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 716,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,808) = 4

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

GCF(716,808) x common factors =4 x 1 = 4

LCM(716,808) = ( 716 × 808 ) / 4

LCM(716,808) = 578528 / 4

LCM(716,808) = 144632


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 7090/716, 3744/808

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 7090/716, 3744/808?

Answer: GCF of Numerators as per given numbers 7090/716, 3744/808 is

GCF of Numerators i.e. for 7090,3744 is 2

LCM of denominators i.e. for 716,808 is 144632.

Thus, GCF of Fractions is 2/144632.Finally, GCF of Fractions for 7090/716, 3744/808 is 2/144632.