Greatest Common Factor of 58/864, 474/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/864, 474/943

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 58/864,474/943

Given fractions are 58/864,474/943

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 58,474

Greatest Common Factor of Numerators i.e. GCF of 58,474 is 2 .

LCM of Denominators means LCM of 864,943 as per the given fractions.

LCM of 864,943 is 814752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,474

GCF of Fractions 58/864,474/943 is 2/814752

2 58, 474
29, 237

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

Greatest Common Factor of 58,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,474 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 58,474 . The biggest common factor number is the GCF number.
So the greatest common factor 58,474 is 2.

Lets's calculate LCM of 864,943

Given numbers has no common factors except 1. So, there LCM is their product i.e 814752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/814752

Therefore, the GCF of Fractions 58/864,474/943 is 2/814752

Least Common Multiple of 864,943 with GCF Formula

Least Common Multiple of 864,943 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 864,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,943) = 1

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

GCF(864,943) x common factors =1 x 1 = 1

LCM(864,943) = ( 864 × 943 ) / 1

LCM(864,943) = 814752 / 1

LCM(864,943) = 814752


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 58/864, 474/943

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 58/864, 474/943?

Answer: GCF of Numerators as per given numbers 58/864, 474/943 is

GCF of Numerators i.e. for 58,474 is 2

LCM of denominators i.e. for 864,943 is 814752.

Thus, GCF of Fractions is 2/814752.Finally, GCF of Fractions for 58/864, 474/943 is 2/814752.