Greatest Common Factor of 71/97, 16/283, 732/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/97, 16/283, 732/524

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 71/97,16/283,732/524

Given fractions are 71/97,16/283,732/524

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 71,16,732

Greatest Common Factor of Numerators i.e. GCF of 71,16,732 is 1 .

LCM of Denominators means LCM of 97,283,524 as per the given fractions.

LCM of 97,283,524 is 14384324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,16,732

GCF of Fractions 71/97,16/283,732/524 is 1/14384324

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

Greatest Common Factor of 71,16,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,16,732 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 16

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

1,2,4,8,16

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 71,16,732 . The biggest common factor number is the GCF number.
So the greatest common factor 71,16,732 is 1.

Lets's calculate LCM of 97,283,524

Given numbers has no common factors except 1. So, there LCM is their product i.e 14384324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14384324

Therefore, the GCF of Fractions 71/97,16/283,732/524 is 1/14384324

Least Common Multiple of 97,283,524 with GCF Formula

Least Common Multiple of 97,283,524 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 97,283,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,283,524) = 1

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

GCF(97,283,524) x common factors =1 x 1 = 1

LCM(97,283,524) = ( 97 × 283 × 524 ) / 1

LCM(97,283,524) = 14384324 / 1

LCM(97,283,524) = 14384324


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 71/97, 16/283, 732/524

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 71/97, 16/283, 732/524?

Answer: GCF of Numerators as per given numbers 71/97, 16/283, 732/524 is

GCF of Numerators i.e. for 71,16,732 is 1

LCM of denominators i.e. for 97,283,524 is 14384324.

Thus, GCF of Fractions is 1/14384324.Finally, GCF of Fractions for 71/97, 16/283, 732/524 is 1/14384324.