Greatest Common Factor of 16/94, 594/25, 253/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 16/94, 594/25, 253/172

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 16/94,594/25,253/172

Given fractions are 16/94,594/25,253/172

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 16,594,253

Greatest Common Factor of Numerators i.e. GCF of 16,594,253 is 1 .

LCM of Denominators means LCM of 94,25,172 as per the given fractions.

LCM of 94,25,172 is 202100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 16,594,253

GCF of Fractions 16/94,594/25,253/172 is 1/202100

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

Greatest Common Factor of 16,594,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,594,253 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 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 16,594,253 . The biggest common factor number is the GCF number.
So the greatest common factor 16,594,253 is 1.

Lets's calculate LCM of 94,25,172

2 94, 25, 172
47, 25, 86

∴ So the LCM of the given numbers is 2 x 47 x 25 x 86 = 202100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202100

Therefore, the GCF of Fractions 16/94,594/25,253/172 is 1/202100

Least Common Multiple of 94,25,172 with GCF Formula

Least Common Multiple of 94,25,172 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 94,25,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,25,172) = 1

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

GCF(94,25,172) x common factors =1 x 2 = 2

LCM(94,25,172) = ( 94 × 25 × 172 ) / 2

LCM(94,25,172) = 404200 / 2

LCM(94,25,172) = 202100


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 16/94, 594/25, 253/172

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 16/94, 594/25, 253/172?

Answer: GCF of Numerators as per given numbers 16/94, 594/25, 253/172 is

GCF of Numerators i.e. for 16,594,253 is 1

LCM of denominators i.e. for 94,25,172 is 202100.

Thus, GCF of Fractions is 1/202100.Finally, GCF of Fractions for 16/94, 594/25, 253/172 is 1/202100.