Greatest Common Factor of 427/39, 704/31, 120/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 427/39, 704/31, 120/32

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 427/39,704/31,120/32

Given fractions are 427/39,704/31,120/32

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 427,704,120

Greatest Common Factor of Numerators i.e. GCF of 427,704,120 is 1 .

LCM of Denominators means LCM of 39,31,32 as per the given fractions.

LCM of 39,31,32 is 38688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 427,704,120

GCF of Fractions 427/39,704/31,120/32 is 1/38688

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 427,704,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,704,120 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 427,704,120 . The biggest common factor number is the GCF number.
So the greatest common factor 427,704,120 is 1.

Lets's calculate LCM of 39,31,32

Given numbers has no common factors except 1. So, there LCM is their product i.e 38688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38688

Therefore, the GCF of Fractions 427/39,704/31,120/32 is 1/38688

Least Common Multiple of 39,31,32 with GCF Formula

Least Common Multiple of 39,31,32 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 39,31,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,31,32) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(39,31,32) x common factors =1 x 1 = 1

LCM(39,31,32) = ( 39 × 31 × 32 ) / 1

LCM(39,31,32) = 38688 / 1

LCM(39,31,32) = 38688


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 427/39, 704/31, 120/32

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 427/39, 704/31, 120/32?

Answer: GCF of Numerators as per given numbers 427/39, 704/31, 120/32 is

GCF of Numerators i.e. for 427,704,120 is 1

LCM of denominators i.e. for 39,31,32 is 38688.

Thus, GCF of Fractions is 1/38688.Finally, GCF of Fractions for 427/39, 704/31, 120/32 is 1/38688.