How to Find GCF of 29/90, 54/724, 259/411?

GCF of 29/90, 54/724, 259/411

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 29/90, 54/724, 259/411 i.e 1/4463460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 29/90, 54/724, 259/411.

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 29/90,54/724,259/411?

Given fractions are 29/90,54/724,259/411

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 29/90,54/724,259/411, numerators are 29,54,259

Denominators are 90,724,411

The GCF of 29,54,259 is 1 .

LCM of 90,724,411 is 4463460.

The greatest common factor of 29/90,54/724,259/411 = [GCF of 29,54,259]/[LCM of 90,724,411]= 1/4463460

Therefore, the GCF of 29/90,54/724,259/411 is 1/4463460.

Greatest Common Factor of 29,54,259

To find the highest common factor of 29,54,259, we have to find the factors of both numbers and list the highest common factor.

The factors of 29 are 1, 29

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

The factors of 259 are 1, 7, 37, 259

The HCF of 29,54,259 is 1.

Lets's calculate GCF of 29,54,259

Greatest Common Factor (GCF) of 29,54,259 By Common Division

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

Greatest Common Factor of 29,54,259 By Matching Biggest Common Factor Method

Now, list down the factors of 29

1,29

Now, list down the factors of 54

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

Now, list down the factors of 259

1,7,37,259

Greatest Common Factor

We found the factors 29,54,259 . The biggest common factor number is the GCF number.
So the greatest common factor 29,54,259 is 1.

Lets's calculate LCM of 90,724,411

Lowest Common Multiple of 90,724,411 using Common Division

2	90, 724, 411
3	45, 362, 411
	15, 362, 137

∴ So the LCM of the given numbers is 2 x 3 x 15 x 362 x 137 = 4463460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4463460

Therefore, the GCF of Fractions 29/90,54/724,259/411 is 1/4463460

Least Common Multiple of 90,724,411 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 90,724,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,724,411) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(90,724,411) x common factors =1 x 6 = 6

LCM(90,724,411) = ( 90 × 724 × 411 ) / 6

LCM(90,724,411) = 26780760 / 6

LCM(90,724,411) = 4463460

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 29/90, 54/724, 259/411

1. What is the HCF of 29,54,259?

The HCF of 29,54,259 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 29/90, 54/724, 259/411?

Answer: GCF of Numerators as per given numbers 29/90, 54/724, 259/411 is

GCF of Numerators i.e. for 29,54,259 is 1

LCM of denominators i.e. for 90,724,411 is 4463460.

Thus, GCF of Fractions is 1/4463460.Finally, GCF of Fractions for 29/90, 54/724, 259/411 is 1/4463460.