Greatest Common Factor of 574/390, 5885/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 574/390, 5885/823

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 574/390,5885/823

Given fractions are 574/390,5885/823

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 574,5885

Greatest Common Factor of Numerators i.e. GCF of 574,5885 is 1 .

LCM of Denominators means LCM of 390,823 as per the given fractions.

LCM of 390,823 is 320970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 574,5885

GCF of Fractions 574/390,5885/823 is 1/320970

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

Greatest Common Factor of 574,5885 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,5885 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 5885

List of positive integer factors of 5885 that divides 5885 without a remainder.

1,5,11,55,107,535,1177,5885

Greatest Common Factor

We found the factors 574,5885 . The biggest common factor number is the GCF number.
So the greatest common factor 574,5885 is 1.

Lets's calculate LCM of 390,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 320970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/320970

Therefore, the GCF of Fractions 574/390,5885/823 is 1/320970

Least Common Multiple of 390,823 with GCF Formula

Least Common Multiple of 390,823 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 390,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,823) = 1

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

GCF(390,823) x common factors =1 x 1 = 1

LCM(390,823) = ( 390 × 823 ) / 1

LCM(390,823) = 320970 / 1

LCM(390,823) = 320970


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 574/390, 5885/823

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 574/390, 5885/823?

Answer: GCF of Numerators as per given numbers 574/390, 5885/823 is

GCF of Numerators i.e. for 574,5885 is 1

LCM of denominators i.e. for 390,823 is 320970.

Thus, GCF of Fractions is 1/320970.Finally, GCF of Fractions for 574/390, 5885/823 is 1/320970.