Greatest Common Factor of 36/86, 72/57, 828/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/86, 72/57, 828/170

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 36/86,72/57,828/170

Given fractions are 36/86,72/57,828/170

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 36,72,828

Greatest Common Factor of Numerators i.e. GCF of 36,72,828 is 36 .

LCM of Denominators means LCM of 86,57,170 as per the given fractions.

LCM of 86,57,170 is 416670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,72,828

GCF of Fractions 36/86,72/57,828/170 is 36/416670

2 36, 72, 828
2 18, 36, 414
3 9, 18, 207
3 3, 6, 69
1, 2, 23

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 36,72,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,72,828 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

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 36,72,828 . The biggest common factor number is the GCF number.
So the greatest common factor 36,72,828 is 36.

Lets's calculate LCM of 86,57,170

2 86, 57, 170
43, 57, 85

∴ So the LCM of the given numbers is 2 x 43 x 57 x 85 = 416670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/416670

Therefore, the GCF of Fractions 36/86,72/57,828/170 is 36/416670

Least Common Multiple of 86,57,170 with GCF Formula

Least Common Multiple of 86,57,170 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 86,57,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,57,170) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,57,170) x common factors =1 x 2 = 2

LCM(86,57,170) = ( 86 × 57 × 170 ) / 2

LCM(86,57,170) = 833340 / 2

LCM(86,57,170) = 416670


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 36/86, 72/57, 828/170

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 36/86, 72/57, 828/170?

Answer: GCF of Numerators as per given numbers 36/86, 72/57, 828/170 is

GCF of Numerators i.e. for 36,72,828 is 36

LCM of denominators i.e. for 86,57,170 is 416670.

Thus, GCF of Fractions is 36/416670.Finally, GCF of Fractions for 36/86, 72/57, 828/170 is 36/416670.