Greatest Common Factor of 99/537, 54/410, 313/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/537, 54/410, 313/172

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 99/537,54/410,313/172

Given fractions are 99/537,54/410,313/172

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 99,54,313

Greatest Common Factor of Numerators i.e. GCF of 99,54,313 is 1 .

LCM of Denominators means LCM of 537,410,172 as per the given fractions.

LCM of 537,410,172 is 18934620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,54,313

GCF of Fractions 99/537,54/410,313/172 is 1/18934620

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

Greatest Common Factor of 99,54,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,54,313 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 99,54,313 . The biggest common factor number is the GCF number.
So the greatest common factor 99,54,313 is 1.

Lets's calculate LCM of 537,410,172

2 537, 410, 172
537, 205, 86

∴ So the LCM of the given numbers is 2 x 537 x 205 x 86 = 18934620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18934620

Therefore, the GCF of Fractions 99/537,54/410,313/172 is 1/18934620

Least Common Multiple of 537,410,172 with GCF Formula

Least Common Multiple of 537,410,172 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 537,410,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,410,172) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(537,410,172) x common factors =1 x 2 = 2

LCM(537,410,172) = ( 537 × 410 × 172 ) / 2

LCM(537,410,172) = 37869240 / 2

LCM(537,410,172) = 18934620


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 99/537, 54/410, 313/172

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 99/537, 54/410, 313/172?

Answer: GCF of Numerators as per given numbers 99/537, 54/410, 313/172 is

GCF of Numerators i.e. for 99,54,313 is 1

LCM of denominators i.e. for 537,410,172 is 18934620.

Thus, GCF of Fractions is 1/18934620.Finally, GCF of Fractions for 99/537, 54/410, 313/172 is 1/18934620.