Greatest Common Factor of 30/893, 338/712, 828/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/893, 338/712, 828/665

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 30/893,338/712,828/665

Given fractions are 30/893,338/712,828/665

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 30,338,828

Greatest Common Factor of Numerators i.e. GCF of 30,338,828 is 2 .

LCM of Denominators means LCM of 893,712,665 as per the given fractions.

LCM of 893,712,665 is 22253560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,338,828

GCF of Fractions 30/893,338/712,828/665 is 2/22253560

2 30, 338, 828
15, 169, 414

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

Greatest Common Factor of 30,338,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,338,828 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 30,338,828 . The biggest common factor number is the GCF number.
So the greatest common factor 30,338,828 is 2.

Lets's calculate LCM of 893,712,665

19 893, 712, 665
47, 712, 35

∴ So the LCM of the given numbers is 19 x 47 x 712 x 35 = 22253560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22253560

Therefore, the GCF of Fractions 30/893,338/712,828/665 is 2/22253560

Least Common Multiple of 893,712,665 with GCF Formula

Least Common Multiple of 893,712,665 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 893,712,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(893,712,665) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(893,712,665) x common factors =1 x 19 = 19

LCM(893,712,665) = ( 893 × 712 × 665 ) / 19

LCM(893,712,665) = 422817640 / 19

LCM(893,712,665) = 22253560


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 30/893, 338/712, 828/665

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 30/893, 338/712, 828/665?

Answer: GCF of Numerators as per given numbers 30/893, 338/712, 828/665 is

GCF of Numerators i.e. for 30,338,828 is 2

LCM of denominators i.e. for 893,712,665 is 22253560.

Thus, GCF of Fractions is 2/22253560.Finally, GCF of Fractions for 30/893, 338/712, 828/665 is 2/22253560.