How to Find GCF of 14/54, 721/90, 383/540?

GCF of 14/54, 721/90, 383/540

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 14/54, 721/90, 383/540 i.e 1/540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/54, 721/90, 383/540.

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 14/54,721/90,383/540?

Given fractions are 14/54,721/90,383/540

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 14/54,721/90,383/540, numerators are 14,721,383

Denominators are 54,90,540

The GCF of 14,721,383 is 1 .

LCM of 54,90,540 is 540.

The greatest common factor of 14/54,721/90,383/540 = [GCF of 14,721,383]/[LCM of 54,90,540]= 1/540

Therefore, the GCF of 14/54,721/90,383/540 is 1/540.

Greatest Common Factor of 14,721,383

To find the highest common factor of 14,721,383, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

The factors of 721 are 1, 7, 103, 721

The factors of 383 are 1, 383

The HCF of 14,721,383 is 1.

Lets's calculate GCF of 14,721,383

Greatest Common Factor (GCF) of 14,721,383 By Common Division

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

Greatest Common Factor of 14,721,383 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 721

1,7,103,721

Now, list down the factors of 383

1,383

Greatest Common Factor

We found the factors 14,721,383 . The biggest common factor number is the GCF number.
So the greatest common factor 14,721,383 is 1.

Lets's calculate LCM of 54,90,540

Lowest Common Multiple of 54,90,540 using Common Division

2	54, 90, 540
3	27, 45, 270
3	9, 15, 90
3	3, 5, 30
5	1, 5, 10
	1, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 5 x 1 x 1 x 2 = 540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540

Therefore, the GCF of Fractions 14/54,721/90,383/540 is 1/540

Least Common Multiple of 54,90,540 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 54,90,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,90,540) = 18

common factors(in case of two or more numbers have common factors) = 270

GCF(54,90,540) x common factors =18 x 270 = 4860

LCM(54,90,540) = ( 54 × 90 × 540 ) / 4860

LCM(54,90,540) = 2624400 / 4860

LCM(54,90,540) = 540

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 14/54, 721/90, 383/540

1. What is the HCF of 14,721,383?

The HCF of 14,721,383 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 14/54, 721/90, 383/540?

Answer: GCF of Numerators as per given numbers 14/54, 721/90, 383/540 is

GCF of Numerators i.e. for 14,721,383 is 1

LCM of denominators i.e. for 54,90,540 is 540.

Thus, GCF of Fractions is 1/540.Finally, GCF of Fractions for 14/54, 721/90, 383/540 is 1/540.