How to Find GCF of 73/29, 54/68, 422/494?

GCF of 73/29, 54/68, 422/494

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 73/29, 54/68, 422/494 i.e 1/487084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/29, 54/68, 422/494.

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 73/29,54/68,422/494?

Given fractions are 73/29,54/68,422/494

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 73/29,54/68,422/494, numerators are 73,54,422

Denominators are 29,68,494

The GCF of 73,54,422 is 1 .

LCM of 29,68,494 is 487084.

The greatest common factor of 73/29,54/68,422/494 = [GCF of 73,54,422]/[LCM of 29,68,494]= 1/487084

Therefore, the GCF of 73/29,54/68,422/494 is 1/487084.

Greatest Common Factor of 73,54,422

To find the highest common factor of 73,54,422, we have to find the factors of both numbers and list the highest common factor.

The factors of 73 are 1, 73

The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54

The factors of 422 are 1, 2, 211, 422

The HCF of 73,54,422 is 1.

Lets's calculate GCF of 73,54,422

Greatest Common Factor (GCF) of 73,54,422 By Common Division

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

Greatest Common Factor of 73,54,422 By Matching Biggest Common Factor Method

Now, list down the factors of 73

1,73

Now, list down the factors of 54

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

Now, list down the factors of 422

1,2,211,422

Greatest Common Factor

We found the factors 73,54,422 . The biggest common factor number is the GCF number.
So the greatest common factor 73,54,422 is 1.

Lets's calculate LCM of 29,68,494

Lowest Common Multiple of 29,68,494 using Common Division

2	29, 68, 494
	29, 34, 247

∴ So the LCM of the given numbers is 2 x 29 x 34 x 247 = 487084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/487084

Therefore, the GCF of Fractions 73/29,54/68,422/494 is 1/487084

Least Common Multiple of 29,68,494 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 29,68,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,68,494) = 1

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

GCF(29,68,494) x common factors =1 x 2 = 2

LCM(29,68,494) = ( 29 × 68 × 494 ) / 2

LCM(29,68,494) = 974168 / 2

LCM(29,68,494) = 487084

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FAQs on GCF of Fractions of 73/29, 54/68, 422/494

1. What is the HCF of 73,54,422?

The HCF of 73,54,422 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 73/29, 54/68, 422/494?

Answer: GCF of Numerators as per given numbers 73/29, 54/68, 422/494 is

GCF of Numerators i.e. for 73,54,422 is 1

LCM of denominators i.e. for 29,68,494 is 487084.

Thus, GCF of Fractions is 1/487084.Finally, GCF of Fractions for 73/29, 54/68, 422/494 is 1/487084.