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GCF of 81/564, 4421/2505

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 81/564, 4421/2505 i.e 1/470940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/564, 4421/2505.

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 81/564,4421/2505?

Given fractions are 81/564,4421/2505

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 81/564,4421/2505, numerators are 81,4421

Denominators are 564,2505

The GCF of 81,4421 is 1 .

LCM of 564,2505 is 470940.

The greatest common factor of 81/564,4421/2505 = [GCF of 81,4421]/[LCM of 564,2505]= 1/470940

Therefore, the GCF of 81/564,4421/2505 is 1/470940.

Greatest Common Factor of 81,4421

To find the highest common factor of 81,4421, we have to find the factors of both numbers and list the highest common factor.

The factors of 81 are 1, 3, 9, 27, 81

The factors of 4421 are 1, 4421

The HCF of 81,4421 is 1.

Lets's calculate GCF of 81,4421

Greatest Common Factor (GCF) of 81,4421 By Common Division

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

Greatest Common Factor of 81,4421 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,4421 By Matching Biggest Common Factor Method

Now, list down the factors of 81

:

1,3,9,27,81

Now, list down the factors of 4421

:

1,4421

Greatest Common Factor

We found the factors 81,4421 . The biggest common factor number is the GCF number.
So the greatest common factor 81,4421 is 1.

Lets's calculate LCM of 564,2505

Lowest Common Multiple of 564,2505 using Common Division

3 564, 2505
188, 835

∴ So the LCM of the given numbers is 3 x 188 x 835 = 470940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/470940

Therefore, the GCF of Fractions 81/564,4421/2505 is 1/470940

Least Common Multiple of 564,2505 with GCF Formula

Least Common Multiple of 564,2505 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 564,2505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,2505) = 3

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

GCF(564,2505) x common factors =3 x 1 = 3

LCM(564,2505) = ( 564 × 2505 ) / 3

LCM(564,2505) = 1412820 / 3

LCM(564,2505) = 470940


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FAQs on GCF of Fractions of 81/564, 4421/2505

1. What is the HCF of 81,4421?

The HCF of 81,4421 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 81/564, 4421/2505?

Answer: GCF of Numerators as per given numbers 81/564, 4421/2505 is

GCF of Numerators i.e. for 81,4421 is 1

LCM of denominators i.e. for 564,2505 is 470940.

Thus, GCF of Fractions is 1/470940.Finally, GCF of Fractions for 81/564, 4421/2505 is 1/470940.