Greatest Common Factor of 67/94, 15/28, 164/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/94, 15/28, 164/199

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 67/94,15/28,164/199

Given fractions are 67/94,15/28,164/199

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 67,15,164

Greatest Common Factor of Numerators i.e. GCF of 67,15,164 is 1 .

LCM of Denominators means LCM of 94,28,199 as per the given fractions.

LCM of 94,28,199 is 261884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,15,164

GCF of Fractions 67/94,15/28,164/199 is 1/261884

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

Greatest Common Factor of 67,15,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,15,164 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 67,15,164 . The biggest common factor number is the GCF number.
So the greatest common factor 67,15,164 is 1.

Lets's calculate LCM of 94,28,199

2 94, 28, 199
47, 14, 199

∴ So the LCM of the given numbers is 2 x 47 x 14 x 199 = 261884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261884

Therefore, the GCF of Fractions 67/94,15/28,164/199 is 1/261884

Least Common Multiple of 94,28,199 with GCF Formula

Least Common Multiple of 94,28,199 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 94,28,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,28,199) = 1

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

GCF(94,28,199) x common factors =1 x 2 = 2

LCM(94,28,199) = ( 94 × 28 × 199 ) / 2

LCM(94,28,199) = 523768 / 2

LCM(94,28,199) = 261884


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 67/94, 15/28, 164/199

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 67/94, 15/28, 164/199?

Answer: GCF of Numerators as per given numbers 67/94, 15/28, 164/199 is

GCF of Numerators i.e. for 67,15,164 is 1

LCM of denominators i.e. for 94,28,199 is 261884.

Thus, GCF of Fractions is 1/261884.Finally, GCF of Fractions for 67/94, 15/28, 164/199 is 1/261884.