Greatest Common Factor of 386/17, 992/72, 692/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 386/17, 992/72, 692/24

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 386/17,992/72,692/24

Given fractions are 386/17,992/72,692/24

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 386,992,692

Greatest Common Factor of Numerators i.e. GCF of 386,992,692 is 2 .

LCM of Denominators means LCM of 17,72,24 as per the given fractions.

LCM of 17,72,24 is 1224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 386,992,692

GCF of Fractions 386/17,992/72,692/24 is 2/1224

2 386, 992, 692
193, 496, 346

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

Greatest Common Factor of 386,992,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,992,692 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 386,992,692 . The biggest common factor number is the GCF number.
So the greatest common factor 386,992,692 is 2.

Lets's calculate LCM of 17,72,24

2 17, 72, 24
2 17, 36, 12
2 17, 18, 6
3 17, 9, 3
17, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 1 x 3 = 1224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1224

Therefore, the GCF of Fractions 386/17,992/72,692/24 is 2/1224

Least Common Multiple of 17,72,24 with GCF Formula

Least Common Multiple of 17,72,24 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 17,72,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,72,24) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(17,72,24) x common factors =1 x 24 = 24

LCM(17,72,24) = ( 17 × 72 × 24 ) / 24

LCM(17,72,24) = 29376 / 24

LCM(17,72,24) = 1224


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 386/17, 992/72, 692/24

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 386/17, 992/72, 692/24?

Answer: GCF of Numerators as per given numbers 386/17, 992/72, 692/24 is

GCF of Numerators i.e. for 386,992,692 is 2

LCM of denominators i.e. for 17,72,24 is 1224.

Thus, GCF of Fractions is 2/1224.Finally, GCF of Fractions for 386/17, 992/72, 692/24 is 2/1224.