Greatest Common Factor of 92/39, 22/32, 856/68

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/39, 22/32, 856/68

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 92/39,22/32,856/68

Given fractions are 92/39,22/32,856/68

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 92,22,856

Greatest Common Factor of Numerators i.e. GCF of 92,22,856 is 2 .

LCM of Denominators means LCM of 39,32,68 as per the given fractions.

LCM of 39,32,68 is 21216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,22,856

GCF of Fractions 92/39,22/32,856/68 is 2/21216

2 92, 22, 856
46, 11, 428

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

Greatest Common Factor of 92,22,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,22,856 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 92,22,856 . The biggest common factor number is the GCF number.
So the greatest common factor 92,22,856 is 2.

Lets's calculate LCM of 39,32,68

2 39, 32, 68
2 39, 16, 34
39, 8, 17

∴ So the LCM of the given numbers is 2 x 2 x 39 x 8 x 17 = 21216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21216

Therefore, the GCF of Fractions 92/39,22/32,856/68 is 2/21216

Least Common Multiple of 39,32,68 with GCF Formula

Least Common Multiple of 39,32,68 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 39,32,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,32,68) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(39,32,68) x common factors =1 x 4 = 4

LCM(39,32,68) = ( 39 × 32 × 68 ) / 4

LCM(39,32,68) = 84864 / 4

LCM(39,32,68) = 21216


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 92/39, 22/32, 856/68

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 92/39, 22/32, 856/68?

Answer: GCF of Numerators as per given numbers 92/39, 22/32, 856/68 is

GCF of Numerators i.e. for 92,22,856 is 2

LCM of denominators i.e. for 39,32,68 is 21216.

Thus, GCF of Fractions is 2/21216.Finally, GCF of Fractions for 92/39, 22/32, 856/68 is 2/21216.