Greatest Common Factor of 438/47, 160/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 438/47, 160/919

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 438/47,160/919

Given fractions are 438/47,160/919

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 438,160

Greatest Common Factor of Numerators i.e. GCF of 438,160 is 2 .

LCM of Denominators means LCM of 47,919 as per the given fractions.

LCM of 47,919 is 43193 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 438,160

GCF of Fractions 438/47,160/919 is 2/43193

2 438, 160
219, 80

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

Greatest Common Factor of 438,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,160 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 438,160 . The biggest common factor number is the GCF number.
So the greatest common factor 438,160 is 2.

Lets's calculate LCM of 47,919

Given numbers has no common factors except 1. So, there LCM is their product i.e 43193

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43193

Therefore, the GCF of Fractions 438/47,160/919 is 2/43193

Least Common Multiple of 47,919 with GCF Formula

Least Common Multiple of 47,919 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 47,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,919) = 1

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

GCF(47,919) x common factors =1 x 1 = 1

LCM(47,919) = ( 47 × 919 ) / 1

LCM(47,919) = 43193 / 1

LCM(47,919) = 43193


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 438/47, 160/919

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 438/47, 160/919?

Answer: GCF of Numerators as per given numbers 438/47, 160/919 is

GCF of Numerators i.e. for 438,160 is 2

LCM of denominators i.e. for 47,919 is 43193.

Thus, GCF of Fractions is 2/43193.Finally, GCF of Fractions for 438/47, 160/919 is 2/43193.