Greatest Common Factor of 16/17, 31/47, 475/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/17, 31/47, 475/180

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 16/17,31/47,475/180

Given fractions are 16/17,31/47,475/180

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 16,31,475

Greatest Common Factor of Numerators i.e. GCF of 16,31,475 is 1 .

LCM of Denominators means LCM of 17,47,180 as per the given fractions.

LCM of 17,47,180 is 143820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,31,475

GCF of Fractions 16/17,31/47,475/180 is 1/143820

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

Greatest Common Factor of 16,31,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,31,475 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 16,31,475 . The biggest common factor number is the GCF number.
So the greatest common factor 16,31,475 is 1.

Lets's calculate LCM of 17,47,180

Given numbers has no common factors except 1. So, there LCM is their product i.e 143820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143820

Therefore, the GCF of Fractions 16/17,31/47,475/180 is 1/143820

Least Common Multiple of 17,47,180 with GCF Formula

Least Common Multiple of 17,47,180 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 17,47,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,47,180) = 1

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

GCF(17,47,180) x common factors =1 x 1 = 1

LCM(17,47,180) = ( 17 × 47 × 180 ) / 1

LCM(17,47,180) = 143820 / 1

LCM(17,47,180) = 143820


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 16/17, 31/47, 475/180

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 16/17, 31/47, 475/180?

Answer: GCF of Numerators as per given numbers 16/17, 31/47, 475/180 is

GCF of Numerators i.e. for 16,31,475 is 1

LCM of denominators i.e. for 17,47,180 is 143820.

Thus, GCF of Fractions is 1/143820.Finally, GCF of Fractions for 16/17, 31/47, 475/180 is 1/143820.