How to Find GCF of 73/54, 170/43, 938/514?

GCF of 73/54, 170/43, 938/514

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 73/54, 170/43, 938/514 i.e 1/596754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/54, 170/43, 938/514.

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 73/54,170/43,938/514?

Given fractions are 73/54,170/43,938/514

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 73/54,170/43,938/514, numerators are 73,170,938

Denominators are 54,43,514

The GCF of 73,170,938 is 1 .

LCM of 54,43,514 is 596754.

The greatest common factor of 73/54,170/43,938/514 = [GCF of 73,170,938]/[LCM of 54,43,514]= 1/596754

Therefore, the GCF of 73/54,170/43,938/514 is 1/596754.

Greatest Common Factor of 73,170,938

To find the highest common factor of 73,170,938, 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 170 are 1, 2, 5, 10, 17, 34, 85, 170

The factors of 938 are 1, 2, 7, 14, 67, 134, 469, 938

The HCF of 73,170,938 is 1.

Lets's calculate GCF of 73,170,938

Greatest Common Factor (GCF) of 73,170,938 By Common Division

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

Greatest Common Factor of 73,170,938 By Matching Biggest Common Factor Method

Now, list down the factors of 73

1,73

Now, list down the factors of 170

1,2,5,10,17,34,85,170

Now, list down the factors of 938

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 73,170,938 . The biggest common factor number is the GCF number.
So the greatest common factor 73,170,938 is 1.

Lets's calculate LCM of 54,43,514

Lowest Common Multiple of 54,43,514 using Common Division

2	54, 43, 514
	27, 43, 257

∴ So the LCM of the given numbers is 2 x 27 x 43 x 257 = 596754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/596754

Therefore, the GCF of Fractions 73/54,170/43,938/514 is 1/596754

Least Common Multiple of 54,43,514 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 54,43,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,43,514) = 1

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

GCF(54,43,514) x common factors =1 x 2 = 2

LCM(54,43,514) = ( 54 × 43 × 514 ) / 2

LCM(54,43,514) = 1193508 / 2

LCM(54,43,514) = 596754

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 73/54, 170/43, 938/514

1. What is the HCF of 73,170,938?

The HCF of 73,170,938 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 73/54, 170/43, 938/514?

Answer: GCF of Numerators as per given numbers 73/54, 170/43, 938/514 is

GCF of Numerators i.e. for 73,170,938 is 1

LCM of denominators i.e. for 54,43,514 is 596754.

Thus, GCF of Fractions is 1/596754.Finally, GCF of Fractions for 73/54, 170/43, 938/514 is 1/596754.