Greatest Common Factor of 398/23, 585/9695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 398/23, 585/9695

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 398/23,585/9695

Given fractions are 398/23,585/9695

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 398,585

Greatest Common Factor of Numerators i.e. GCF of 398,585 is 1 .

LCM of Denominators means LCM of 23,9695 as per the given fractions.

LCM of 23,9695 is 222985 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 398,585

GCF of Fractions 398/23,585/9695 is 1/222985

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

Greatest Common Factor of 398,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,585 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

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 398,585 . The biggest common factor number is the GCF number.
So the greatest common factor 398,585 is 1.

Lets's calculate LCM of 23,9695

Given numbers has no common factors except 1. So, there LCM is their product i.e 222985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222985

Therefore, the GCF of Fractions 398/23,585/9695 is 1/222985

Least Common Multiple of 23,9695 with GCF Formula

Least Common Multiple of 23,9695 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 23,9695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,9695) = 1

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

GCF(23,9695) x common factors =1 x 1 = 1

LCM(23,9695) = ( 23 × 9695 ) / 1

LCM(23,9695) = 222985 / 1

LCM(23,9695) = 222985


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 398/23, 585/9695

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 398/23, 585/9695?

Answer: GCF of Numerators as per given numbers 398/23, 585/9695 is

GCF of Numerators i.e. for 398,585 is 1

LCM of denominators i.e. for 23,9695 is 222985.

Thus, GCF of Fractions is 1/222985.Finally, GCF of Fractions for 398/23, 585/9695 is 1/222985.