Greatest Common Factor of 665/368, 585/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/368, 585/758

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 665/368,585/758

Given fractions are 665/368,585/758

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 665,585

Greatest Common Factor of Numerators i.e. GCF of 665,585 is 5 .

LCM of Denominators means LCM of 368,758 as per the given fractions.

LCM of 368,758 is 139472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,585

GCF of Fractions 665/368,585/758 is 5/139472

5 665, 585
133, 117

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

Greatest Common Factor of 665,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,585 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 665,585 . The biggest common factor number is the GCF number.
So the greatest common factor 665,585 is 5.

Lets's calculate LCM of 368,758

2 368, 758
184, 379

∴ So the LCM of the given numbers is 2 x 184 x 379 = 139472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/139472

Therefore, the GCF of Fractions 665/368,585/758 is 5/139472

Least Common Multiple of 368,758 with GCF Formula

Least Common Multiple of 368,758 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 368,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,758) = 2

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

GCF(368,758) x common factors =2 x 1 = 2

LCM(368,758) = ( 368 × 758 ) / 2

LCM(368,758) = 278944 / 2

LCM(368,758) = 139472


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 665/368, 585/758

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 665/368, 585/758?

Answer: GCF of Numerators as per given numbers 665/368, 585/758 is

GCF of Numerators i.e. for 665,585 is 5

LCM of denominators i.e. for 368,758 is 139472.

Thus, GCF of Fractions is 5/139472.Finally, GCF of Fractions for 665/368, 585/758 is 5/139472.