Greatest Common Factor of 3990/586, 1765/8348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3990/586, 1765/8348

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 3990/586,1765/8348

Given fractions are 3990/586,1765/8348

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 3990,1765

Greatest Common Factor of Numerators i.e. GCF of 3990,1765 is 5 .

LCM of Denominators means LCM of 586,8348 as per the given fractions.

LCM of 586,8348 is 2445964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3990,1765

GCF of Fractions 3990/586,1765/8348 is 5/2445964

5 3990, 1765
798, 353

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3990,1765 By Matching Biggest Common Factor Method

Greatest Common Factor of 3990,1765 By Matching Biggest Common Factor Method

Factors of 3990

List of positive integer factors of 3990 that divides 3990 without a remainder.

1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990

Factors of 1765

List of positive integer factors of 1765 that divides 1765 without a remainder.

1,5,353,1765

Greatest Common Factor

We found the factors 3990,1765 . The biggest common factor number is the GCF number.
So the greatest common factor 3990,1765 is 5.

Lets's calculate LCM of 586,8348

2 586, 8348
293, 4174

∴ So the LCM of the given numbers is 2 x 293 x 4174 = 2445964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2445964

Therefore, the GCF of Fractions 3990/586,1765/8348 is 5/2445964

Least Common Multiple of 586,8348 with GCF Formula

Least Common Multiple of 586,8348 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 586,8348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,8348) = 2

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

GCF(586,8348) x common factors =2 x 1 = 2

LCM(586,8348) = ( 586 × 8348 ) / 2

LCM(586,8348) = 4891928 / 2

LCM(586,8348) = 2445964


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 3990/586, 1765/8348

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 3990/586, 1765/8348?

Answer: GCF of Numerators as per given numbers 3990/586, 1765/8348 is

GCF of Numerators i.e. for 3990,1765 is 5

LCM of denominators i.e. for 586,8348 is 2445964.

Thus, GCF of Fractions is 5/2445964.Finally, GCF of Fractions for 3990/586, 1765/8348 is 5/2445964.