Greatest Common Factor of 174/45, 832/65, 992/20

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 174/45, 832/65, 992/20

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 174/45,832/65,992/20

Given fractions are 174/45,832/65,992/20

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 174,832,992

Greatest Common Factor of Numerators i.e. GCF of 174,832,992 is 2 .

LCM of Denominators means LCM of 45,65,20 as per the given fractions.

LCM of 45,65,20 is 2340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 174,832,992

GCF of Fractions 174/45,832/65,992/20 is 2/2340

2 174, 832, 992
87, 416, 496

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

Greatest Common Factor of 174,832,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,832,992 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

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

Greatest Common Factor

We found the factors 174,832,992 . The biggest common factor number is the GCF number.
So the greatest common factor 174,832,992 is 2.

Lets's calculate LCM of 45,65,20

5 45, 65, 20
9, 13, 4

∴ So the LCM of the given numbers is 5 x 9 x 13 x 4 = 2340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2340

Therefore, the GCF of Fractions 174/45,832/65,992/20 is 2/2340

Least Common Multiple of 45,65,20 with GCF Formula

Least Common Multiple of 45,65,20 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 45,65,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,65,20) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(45,65,20) x common factors =5 x 5 = 25

LCM(45,65,20) = ( 45 × 65 × 20 ) / 25

LCM(45,65,20) = 58500 / 25

LCM(45,65,20) = 2340


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 174/45, 832/65, 992/20

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 174/45, 832/65, 992/20?

Answer: GCF of Numerators as per given numbers 174/45, 832/65, 992/20 is

GCF of Numerators i.e. for 174,832,992 is 2

LCM of denominators i.e. for 45,65,20 is 2340.

Thus, GCF of Fractions is 2/2340.Finally, GCF of Fractions for 174/45, 832/65, 992/20 is 2/2340.