Greatest Common Factor of 682/75, 888/18, 828/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 682/75, 888/18, 828/856

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 682/75,888/18,828/856

Given fractions are 682/75,888/18,828/856

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 682,888,828

Greatest Common Factor of Numerators i.e. GCF of 682,888,828 is 2 .

LCM of Denominators means LCM of 75,18,856 as per the given fractions.

LCM of 75,18,856 is 192600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 682,888,828

GCF of Fractions 682/75,888/18,828/856 is 2/192600

2 682, 888, 828
341, 444, 414

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

Greatest Common Factor of 682,888,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,888,828 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

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 682,888,828 . The biggest common factor number is the GCF number.
So the greatest common factor 682,888,828 is 2.

Lets's calculate LCM of 75,18,856

2 75, 18, 856
3 75, 9, 428
25, 3, 428

∴ So the LCM of the given numbers is 2 x 3 x 25 x 3 x 428 = 192600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/192600

Therefore, the GCF of Fractions 682/75,888/18,828/856 is 2/192600

Least Common Multiple of 75,18,856 with GCF Formula

Least Common Multiple of 75,18,856 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 75,18,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,18,856) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(75,18,856) x common factors =1 x 6 = 6

LCM(75,18,856) = ( 75 × 18 × 856 ) / 6

LCM(75,18,856) = 1155600 / 6

LCM(75,18,856) = 192600


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 682/75, 888/18, 828/856

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 682/75, 888/18, 828/856?

Answer: GCF of Numerators as per given numbers 682/75, 888/18, 828/856 is

GCF of Numerators i.e. for 682,888,828 is 2

LCM of denominators i.e. for 75,18,856 is 192600.

Thus, GCF of Fractions is 2/192600.Finally, GCF of Fractions for 682/75, 888/18, 828/856 is 2/192600.