How to Find GCF of 54/73, 713/54, 549/619?

GCF of 54/73, 713/54, 549/619

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 54/73, 713/54, 549/619 i.e 1/2440098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 54/73, 713/54, 549/619.

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 54/73,713/54,549/619?

Given fractions are 54/73,713/54,549/619

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 54/73,713/54,549/619, numerators are 54,713,549

Denominators are 73,54,619

The GCF of 54,713,549 is 1 .

LCM of 73,54,619 is 2440098.

The greatest common factor of 54/73,713/54,549/619 = [GCF of 54,713,549]/[LCM of 73,54,619]= 1/2440098

Therefore, the GCF of 54/73,713/54,549/619 is 1/2440098.

Greatest Common Factor of 54,713,549

To find the highest common factor of 54,713,549, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 713 are 1, 23, 31, 713

The factors of 549 are 1, 3, 9, 61, 183, 549

The HCF of 54,713,549 is 1.

Lets's calculate GCF of 54,713,549

Greatest Common Factor (GCF) of 54,713,549 By Common Division

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

Greatest Common Factor of 54,713,549 By Matching Biggest Common Factor Method

Now, list down the factors of 54

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

Now, list down the factors of 713

1,23,31,713

Now, list down the factors of 549

1,3,9,61,183,549

Greatest Common Factor

We found the factors 54,713,549 . The biggest common factor number is the GCF number.
So the greatest common factor 54,713,549 is 1.

Lets's calculate LCM of 73,54,619

Lowest Common Multiple of 73,54,619 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2440098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2440098

Therefore, the GCF of Fractions 54/73,713/54,549/619 is 1/2440098

Least Common Multiple of 73,54,619 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 73,54,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,54,619) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(73,54,619) x common factors =1 x 1 = 1

LCM(73,54,619) = ( 73 × 54 × 619 ) / 1

LCM(73,54,619) = 2440098 / 1

LCM(73,54,619) = 2440098

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FAQs on GCF of Fractions of 54/73, 713/54, 549/619

1. What is the HCF of 54,713,549?

The HCF of 54,713,549 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 54/73, 713/54, 549/619?

Answer: GCF of Numerators as per given numbers 54/73, 713/54, 549/619 is

GCF of Numerators i.e. for 54,713,549 is 1

LCM of denominators i.e. for 73,54,619 is 2440098.

Thus, GCF of Fractions is 1/2440098.Finally, GCF of Fractions for 54/73, 713/54, 549/619 is 1/2440098.