Greatest Common Factor of 574/948, 5789/6091

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 574/948, 5789/6091

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 574/948,5789/6091

Given fractions are 574/948,5789/6091

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 574,5789

Greatest Common Factor of Numerators i.e. GCF of 574,5789 is 7 .

LCM of Denominators means LCM of 948,6091 as per the given fractions.

LCM of 948,6091 is 5774268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 574,5789

GCF of Fractions 574/948,5789/6091 is 7/5774268

7 574, 5789
82, 827

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 574,5789 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,5789 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 5789

List of positive integer factors of 5789 that divides 5789 without a remainder.

1,7,827,5789

Greatest Common Factor

We found the factors 574,5789 . The biggest common factor number is the GCF number.
So the greatest common factor 574,5789 is 7.

Lets's calculate LCM of 948,6091

Given numbers has no common factors except 1. So, there LCM is their product i.e 5774268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5774268

Therefore, the GCF of Fractions 574/948,5789/6091 is 7/5774268

Least Common Multiple of 948,6091 with GCF Formula

Least Common Multiple of 948,6091 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 948,6091 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,6091) = 1

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

GCF(948,6091) x common factors =1 x 1 = 1

LCM(948,6091) = ( 948 × 6091 ) / 1

LCM(948,6091) = 5774268 / 1

LCM(948,6091) = 5774268


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 574/948, 5789/6091

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 574/948, 5789/6091?

Answer: GCF of Numerators as per given numbers 574/948, 5789/6091 is

GCF of Numerators i.e. for 574,5789 is 7

LCM of denominators i.e. for 948,6091 is 5774268.

Thus, GCF of Fractions is 7/5774268.Finally, GCF of Fractions for 574/948, 5789/6091 is 7/5774268.