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GCF of 481/96, 189/464

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 481/96, 189/464 i.e 1/2784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 481/96, 189/464.

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 481/96,189/464?

Given fractions are 481/96,189/464

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 481/96,189/464, numerators are 481,189

Denominators are 96,464

The GCF of 481,189 is 1 .

LCM of 96,464 is 2784.

The greatest common factor of 481/96,189/464 = [GCF of 481,189]/[LCM of 96,464]= 1/2784

Therefore, the GCF of 481/96,189/464 is 1/2784.

Greatest Common Factor of 481,189

To find the highest common factor of 481,189, we have to find the factors of both numbers and list the highest common factor.

The factors of 481 are 1, 13, 37, 481

The factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189

The HCF of 481,189 is 1.

Lets's calculate GCF of 481,189

Greatest Common Factor (GCF) of 481,189 By Common Division

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

Greatest Common Factor of 481,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 481,189 By Matching Biggest Common Factor Method

Now, list down the factors of 481

:

1,13,37,481

Now, list down the factors of 189

:

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 481,189 . The biggest common factor number is the GCF number.
So the greatest common factor 481,189 is 1.

Lets's calculate LCM of 96,464

Lowest Common Multiple of 96,464 using Common Division

2 96, 464
2 48, 232
2 24, 116
2 12, 58
6, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 6 x 29 = 2784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2784

Therefore, the GCF of Fractions 481/96,189/464 is 1/2784

Least Common Multiple of 96,464 with GCF Formula

Least Common Multiple of 96,464 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 96,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,464) = 16

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

GCF(96,464) x common factors =16 x 1 = 16

LCM(96,464) = ( 96 × 464 ) / 16

LCM(96,464) = 44544 / 16

LCM(96,464) = 2784


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FAQs on GCF of Fractions of 481/96, 189/464

1. What is the HCF of 481,189?

The HCF of 481,189 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 481/96, 189/464?

Answer: GCF of Numerators as per given numbers 481/96, 189/464 is

GCF of Numerators i.e. for 481,189 is 1

LCM of denominators i.e. for 96,464 is 2784.

Thus, GCF of Fractions is 1/2784.Finally, GCF of Fractions for 481/96, 189/464 is 1/2784.