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GCF of 260/990, 533/908

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 260/990, 533/908 i.e 13/449460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 260/990, 533/908.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 260/990,533/908?

Given fractions are 260/990,533/908

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 260/990,533/908, numerators are 260,533

Denominators are 990,908

The GCF of 260,533 is 13 .

LCM of 990,908 is 449460.

The greatest common factor of 260/990,533/908 = [GCF of 260,533]/[LCM of 990,908]= 13/449460

Therefore, the GCF of 260/990,533/908 is 13/449460.

Greatest Common Factor of 260,533

To find the highest common factor of 260,533, 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 533 are 1, 13, 41, 533

The HCF of 260,533 is 13.

Lets's calculate GCF of 260,533

Greatest Common Factor (GCF) of 260,533 By Common Division

13 260, 533
20, 41

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 260,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,533 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 533

:

1,13,41,533

Greatest Common Factor

We found the factors 260,533 . The biggest common factor number is the GCF number.
So the greatest common factor 260,533 is 13.

Lets's calculate LCM of 990,908

Lowest Common Multiple of 990,908 using Common Division

2 990, 908
495, 454

∴ So the LCM of the given numbers is 2 x 495 x 454 = 449460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/449460

Therefore, the GCF of Fractions 260/990,533/908 is 13/449460

Least Common Multiple of 990,908 with GCF Formula

Least Common Multiple of 990,908 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 990,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,908) = 2

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

GCF(990,908) x common factors =2 x 1 = 2

LCM(990,908) = ( 990 × 908 ) / 2

LCM(990,908) = 898920 / 2

LCM(990,908) = 449460


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FAQs on GCF of Fractions of 260/990, 533/908

1. What is the HCF of 260,533?

The HCF of 260,533 is 13

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 260/990, 533/908?

Answer: GCF of Numerators as per given numbers 260/990, 533/908 is

GCF of Numerators i.e. for 260,533 is 13

LCM of denominators i.e. for 990,908 is 449460.

Thus, GCF of Fractions is 13/449460.Finally, GCF of Fractions for 260/990, 533/908 is 13/449460.