Greatest Common Factor of 5788/189, 8458/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5788/189, 8458/474

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 5788/189,8458/474

Given fractions are 5788/189,8458/474

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 5788,8458

Greatest Common Factor of Numerators i.e. GCF of 5788,8458 is 2 .

LCM of Denominators means LCM of 189,474 as per the given fractions.

LCM of 189,474 is 29862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5788,8458

GCF of Fractions 5788/189,8458/474 is 2/29862

2 5788, 8458
2894, 4229

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5788,8458 By Matching Biggest Common Factor Method

Greatest Common Factor of 5788,8458 By Matching Biggest Common Factor Method

Factors of 5788

List of positive integer factors of 5788 that divides 5788 without a remainder.

1,2,4,1447,2894,5788

Factors of 8458

List of positive integer factors of 8458 that divides 8458 without a remainder.

1,2,4229,8458

Greatest Common Factor

We found the factors 5788,8458 . The biggest common factor number is the GCF number.
So the greatest common factor 5788,8458 is 2.

Lets's calculate LCM of 189,474

3 189, 474
63, 158

∴ So the LCM of the given numbers is 3 x 63 x 158 = 29862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29862

Therefore, the GCF of Fractions 5788/189,8458/474 is 2/29862

Least Common Multiple of 189,474 with GCF Formula

Least Common Multiple of 189,474 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 189,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,474) = 3

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

GCF(189,474) x common factors =3 x 1 = 3

LCM(189,474) = ( 189 × 474 ) / 3

LCM(189,474) = 89586 / 3

LCM(189,474) = 29862


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 5788/189, 8458/474

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 5788/189, 8458/474?

Answer: GCF of Numerators as per given numbers 5788/189, 8458/474 is

GCF of Numerators i.e. for 5788,8458 is 2

LCM of denominators i.e. for 189,474 is 29862.

Thus, GCF of Fractions is 2/29862.Finally, GCF of Fractions for 5788/189, 8458/474 is 2/29862.