How to Find GCF of 260/372, 229/288?

GCF of 260/372, 229/288

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 260/372, 229/288 i.e 1/8928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 260/372, 229/288.

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 260/372,229/288?

Given fractions are 260/372,229/288

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 260/372,229/288, numerators are 260,229

Denominators are 372,288

The GCF of 260,229 is 1 .

LCM of 372,288 is 8928.

The greatest common factor of 260/372,229/288 = [GCF of 260,229]/[LCM of 372,288]= 1/8928

Therefore, the GCF of 260/372,229/288 is 1/8928.

Greatest Common Factor of 260,229

To find the highest common factor of 260,229, we have to find the factors of both numbers and list the highest common factor.

The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

The factors of 229 are 1, 229

The HCF of 260,229 is 1.

Lets's calculate GCF of 260,229

Greatest Common Factor (GCF) of 260,229 By Common Division

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

Greatest Common Factor of 260,229 By Matching Biggest Common Factor Method

Now, list down the factors of 260

1,2,4,5,10,13,20,26,52,65,130,260

Now, list down the factors of 229

1,229

Greatest Common Factor

We found the factors 260,229 . The biggest common factor number is the GCF number.
So the greatest common factor 260,229 is 1.

Lets's calculate LCM of 372,288

Lowest Common Multiple of 372,288 using Common Division

2	372, 288
2	186, 144
3	93, 72
	31, 24

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 24 = 8928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8928

Therefore, the GCF of Fractions 260/372,229/288 is 1/8928

Least Common Multiple of 372,288 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 372,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,288) = 12

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

GCF(372,288) x common factors =12 x 1 = 12

LCM(372,288) = ( 372 × 288 ) / 12

LCM(372,288) = 107136 / 12

LCM(372,288) = 8928

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FAQs on GCF of Fractions of 260/372, 229/288

1. What is the HCF of 260,229?

The HCF of 260,229 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 260/372, 229/288?

Answer: GCF of Numerators as per given numbers 260/372, 229/288 is

GCF of Numerators i.e. for 260,229 is 1

LCM of denominators i.e. for 372,288 is 8928.

Thus, GCF of Fractions is 1/8928.Finally, GCF of Fractions for 260/372, 229/288 is 1/8928.