How to Find GCF of 164/28, 103/94, 172/38?

GCF of 164/28, 103/94, 172/38

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 164/28, 103/94, 172/38 i.e 1/25004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 164/28, 103/94, 172/38.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 164/28,103/94,172/38?

Given fractions are 164/28,103/94,172/38

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 164/28,103/94,172/38, numerators are 164,103,172

Denominators are 28,94,38

The GCF of 164,103,172 is 1 .

LCM of 28,94,38 is 25004.

The greatest common factor of 164/28,103/94,172/38 = [GCF of 164,103,172]/[LCM of 28,94,38]= 1/25004

Therefore, the GCF of 164/28,103/94,172/38 is 1/25004.

Greatest Common Factor of 164,103,172

To find the highest common factor of 164,103,172, we have to find the factors of both numbers and list the highest common factor.

The factors of 164 are 1, 2, 4, 41, 82, 164

The factors of 103 are 1, 103

The factors of 172 are 1, 2, 4, 43, 86, 172

The HCF of 164,103,172 is 1.

Lets's calculate GCF of 164,103,172

Greatest Common Factor (GCF) of 164,103,172 By Common Division

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

Greatest Common Factor of 164,103,172 By Matching Biggest Common Factor Method

Now, list down the factors of 164

1,2,4,41,82,164

Now, list down the factors of 103

1,103

Now, list down the factors of 172

1,2,4,43,86,172

Greatest Common Factor

We found the factors 164,103,172 . The biggest common factor number is the GCF number.
So the greatest common factor 164,103,172 is 1.

Lets's calculate LCM of 28,94,38

Lowest Common Multiple of 28,94,38 using Common Division

2	28, 94, 38
	14, 47, 19

∴ So the LCM of the given numbers is 2 x 14 x 47 x 19 = 25004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25004

Therefore, the GCF of Fractions 164/28,103/94,172/38 is 1/25004

Least Common Multiple of 28,94,38 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,94,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,94,38) = 2

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

GCF(28,94,38) x common factors =2 x 2 = 4

LCM(28,94,38) = ( 28 × 94 × 38 ) / 4

LCM(28,94,38) = 100016 / 4

LCM(28,94,38) = 25004

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FAQs on GCF of Fractions of 164/28, 103/94, 172/38

1. What is the HCF of 164,103,172?

The HCF of 164,103,172 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 164/28, 103/94, 172/38?

Answer: GCF of Numerators as per given numbers 164/28, 103/94, 172/38 is

GCF of Numerators i.e. for 164,103,172 is 1

LCM of denominators i.e. for 28,94,38 is 25004.

Thus, GCF of Fractions is 1/25004.Finally, GCF of Fractions for 164/28, 103/94, 172/38 is 1/25004.