Greatest Common Factor of 5417/16, 5972/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5417/16, 5972/447

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 5417/16,5972/447

Given fractions are 5417/16,5972/447

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 5417,5972

Greatest Common Factor of Numerators i.e. GCF of 5417,5972 is 1 .

LCM of Denominators means LCM of 16,447 as per the given fractions.

LCM of 16,447 is 7152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5417,5972

GCF of Fractions 5417/16,5972/447 is 1/7152

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

Greatest Common Factor of 5417,5972 By Matching Biggest Common Factor Method

Greatest Common Factor of 5417,5972 By Matching Biggest Common Factor Method

Factors of 5417

List of positive integer factors of 5417 that divides 5417 without a remainder.

1,5417

Factors of 5972

List of positive integer factors of 5972 that divides 5972 without a remainder.

1,2,4,1493,2986,5972

Greatest Common Factor

We found the factors 5417,5972 . The biggest common factor number is the GCF number.
So the greatest common factor 5417,5972 is 1.

Lets's calculate LCM of 16,447

Given numbers has no common factors except 1. So, there LCM is their product i.e 7152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7152

Therefore, the GCF of Fractions 5417/16,5972/447 is 1/7152

Least Common Multiple of 16,447 with GCF Formula

Least Common Multiple of 16,447 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 16,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,447) = 1

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

GCF(16,447) x common factors =1 x 1 = 1

LCM(16,447) = ( 16 × 447 ) / 1

LCM(16,447) = 7152 / 1

LCM(16,447) = 7152


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 5417/16, 5972/447

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 5417/16, 5972/447?

Answer: GCF of Numerators as per given numbers 5417/16, 5972/447 is

GCF of Numerators i.e. for 5417,5972 is 1

LCM of denominators i.e. for 16,447 is 7152.

Thus, GCF of Fractions is 1/7152.Finally, GCF of Fractions for 5417/16, 5972/447 is 1/7152.