Greatest Common Factor of 1665/586, 9208/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1665/586, 9208/712

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 1665/586,9208/712

Given fractions are 1665/586,9208/712

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 1665,9208

Greatest Common Factor of Numerators i.e. GCF of 1665,9208 is 1 .

LCM of Denominators means LCM of 586,712 as per the given fractions.

LCM of 586,712 is 208616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1665,9208

GCF of Fractions 1665/586,9208/712 is 1/208616

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

Greatest Common Factor of 1665,9208 By Matching Biggest Common Factor Method

Greatest Common Factor of 1665,9208 By Matching Biggest Common Factor Method

Factors of 1665

List of positive integer factors of 1665 that divides 1665 without a remainder.

1,3,5,9,15,37,45,111,185,333,555,1665

Factors of 9208

List of positive integer factors of 9208 that divides 9208 without a remainder.

1,2,4,8,1151,2302,4604,9208

Greatest Common Factor

We found the factors 1665,9208 . The biggest common factor number is the GCF number.
So the greatest common factor 1665,9208 is 1.

Lets's calculate LCM of 586,712

2 586, 712
293, 356

∴ So the LCM of the given numbers is 2 x 293 x 356 = 208616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208616

Therefore, the GCF of Fractions 1665/586,9208/712 is 1/208616

Least Common Multiple of 586,712 with GCF Formula

Least Common Multiple of 586,712 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 586,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,712) = 2

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

GCF(586,712) x common factors =2 x 1 = 2

LCM(586,712) = ( 586 × 712 ) / 2

LCM(586,712) = 417232 / 2

LCM(586,712) = 208616


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 1665/586, 9208/712

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 1665/586, 9208/712?

Answer: GCF of Numerators as per given numbers 1665/586, 9208/712 is

GCF of Numerators i.e. for 1665,9208 is 1

LCM of denominators i.e. for 586,712 is 208616.

Thus, GCF of Fractions is 1/208616.Finally, GCF of Fractions for 1665/586, 9208/712 is 1/208616.