Greatest Common Factor of 14/75, 36/47, 143/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/75, 36/47, 143/256

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 14/75,36/47,143/256

Given fractions are 14/75,36/47,143/256

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 14,36,143

Greatest Common Factor of Numerators i.e. GCF of 14,36,143 is 1 .

LCM of Denominators means LCM of 75,47,256 as per the given fractions.

LCM of 75,47,256 is 902400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,36,143

GCF of Fractions 14/75,36/47,143/256 is 1/902400

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

Greatest Common Factor of 14,36,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,36,143 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 14,36,143 . The biggest common factor number is the GCF number.
So the greatest common factor 14,36,143 is 1.

Lets's calculate LCM of 75,47,256

Given numbers has no common factors except 1. So, there LCM is their product i.e 902400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/902400

Therefore, the GCF of Fractions 14/75,36/47,143/256 is 1/902400

Least Common Multiple of 75,47,256 with GCF Formula

Least Common Multiple of 75,47,256 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 75,47,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,47,256) = 1

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

GCF(75,47,256) x common factors =1 x 1 = 1

LCM(75,47,256) = ( 75 × 47 × 256 ) / 1

LCM(75,47,256) = 902400 / 1

LCM(75,47,256) = 902400


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 14/75, 36/47, 143/256

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 14/75, 36/47, 143/256?

Answer: GCF of Numerators as per given numbers 14/75, 36/47, 143/256 is

GCF of Numerators i.e. for 14,36,143 is 1

LCM of denominators i.e. for 75,47,256 is 902400.

Thus, GCF of Fractions is 1/902400.Finally, GCF of Fractions for 14/75, 36/47, 143/256 is 1/902400.