How to Find GCF of 533/899, 130/145?

GCF of 533/899, 130/145

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 533/899, 130/145 i.e 13/4495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 533/899, 130/145.

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 533/899,130/145?

Given fractions are 533/899,130/145

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 533/899,130/145, numerators are 533,130

Denominators are 899,145

The GCF of 533,130 is 13 .

LCM of 899,145 is 4495.

The greatest common factor of 533/899,130/145 = [GCF of 533,130]/[LCM of 899,145]= 13/4495

Therefore, the GCF of 533/899,130/145 is 13/4495.

Greatest Common Factor of 533,130

To find the highest common factor of 533,130, we have to find the factors of both numbers and list the highest common factor.

The factors of 533 are 1, 13, 41, 533

The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130

The HCF of 533,130 is 13.

Lets's calculate GCF of 533,130

Greatest Common Factor (GCF) of 533,130 By Common Division

13	533, 130
	41, 10

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

Greatest Common Factor of 533,130 By Matching Biggest Common Factor Method

Now, list down the factors of 533

1,13,41,533

Now, list down the factors of 130

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 533,130 . The biggest common factor number is the GCF number.
So the greatest common factor 533,130 is 13.

Lets's calculate LCM of 899,145

Lowest Common Multiple of 899,145 using Common Division

29	899, 145
	31, 5

∴ So the LCM of the given numbers is 29 x 31 x 5 = 4495

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4495

Therefore, the GCF of Fractions 533/899,130/145 is 13/4495

Least Common Multiple of 899,145 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 899,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,145) = 29

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

GCF(899,145) x common factors =29 x 1 = 29

LCM(899,145) = ( 899 × 145 ) / 29

LCM(899,145) = 130355 / 29

LCM(899,145) = 4495

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FAQs on GCF of Fractions of 533/899, 130/145

1. What is the HCF of 533,130?

The HCF of 533,130 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 533/899, 130/145?

Answer: GCF of Numerators as per given numbers 533/899, 130/145 is

GCF of Numerators i.e. for 533,130 is 13

LCM of denominators i.e. for 899,145 is 4495.

Thus, GCF of Fractions is 13/4495.Finally, GCF of Fractions for 533/899, 130/145 is 13/4495.