Greatest Common Factor of 58/732, 76/867, 300/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/732, 76/867, 300/289

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 58/732,76/867,300/289

Given fractions are 58/732,76/867,300/289

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 58,76,300

Greatest Common Factor of Numerators i.e. GCF of 58,76,300 is 2 .

LCM of Denominators means LCM of 732,867,289 as per the given fractions.

LCM of 732,867,289 is 211548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,76,300

GCF of Fractions 58/732,76/867,300/289 is 2/211548

2 58, 76, 300
29, 38, 150

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

Greatest Common Factor of 58,76,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,76,300 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 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 58,76,300 . The biggest common factor number is the GCF number.
So the greatest common factor 58,76,300 is 2.

Lets's calculate LCM of 732,867,289

3 732, 867, 289
17 244, 289, 289
17 244, 17, 17
244, 1, 1

∴ So the LCM of the given numbers is 3 x 17 x 17 x 244 x 1 x 1 = 211548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/211548

Therefore, the GCF of Fractions 58/732,76/867,300/289 is 2/211548

Least Common Multiple of 732,867,289 with GCF Formula

Least Common Multiple of 732,867,289 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 732,867,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,867,289) = 1

common factors(in case of two or more numbers have common factors) = 867

GCF(732,867,289) x common factors =1 x 867 = 867

LCM(732,867,289) = ( 732 × 867 × 289 ) / 867

LCM(732,867,289) = 183412116 / 867

LCM(732,867,289) = 211548


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 58/732, 76/867, 300/289

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 58/732, 76/867, 300/289?

Answer: GCF of Numerators as per given numbers 58/732, 76/867, 300/289 is

GCF of Numerators i.e. for 58,76,300 is 2

LCM of denominators i.e. for 732,867,289 is 211548.

Thus, GCF of Fractions is 2/211548.Finally, GCF of Fractions for 58/732, 76/867, 300/289 is 2/211548.