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GCF of 564/242, 461/544

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 564/242, 461/544 i.e 1/65824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 564/242, 461/544.

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 564/242,461/544?

Given fractions are 564/242,461/544

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 564/242,461/544, numerators are 564,461

Denominators are 242,544

The GCF of 564,461 is 1 .

LCM of 242,544 is 65824.

The greatest common factor of 564/242,461/544 = [GCF of 564,461]/[LCM of 242,544]= 1/65824

Therefore, the GCF of 564/242,461/544 is 1/65824.

Greatest Common Factor of 564,461

To find the highest common factor of 564,461, we have to find the factors of both numbers and list the highest common factor.

The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

The factors of 461 are 1, 461

The HCF of 564,461 is 1.

Lets's calculate GCF of 564,461

Greatest Common Factor (GCF) of 564,461 By Common Division

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

Greatest Common Factor of 564,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,461 By Matching Biggest Common Factor Method

Now, list down the factors of 564

:

1,2,3,4,6,12,47,94,141,188,282,564

Now, list down the factors of 461

:

1,461

Greatest Common Factor

We found the factors 564,461 . The biggest common factor number is the GCF number.
So the greatest common factor 564,461 is 1.

Lets's calculate LCM of 242,544

Lowest Common Multiple of 242,544 using Common Division

2 242, 544
121, 272

∴ So the LCM of the given numbers is 2 x 121 x 272 = 65824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65824

Therefore, the GCF of Fractions 564/242,461/544 is 1/65824

Least Common Multiple of 242,544 with GCF Formula

Least Common Multiple of 242,544 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 242,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,544) = 2

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

GCF(242,544) x common factors =2 x 1 = 2

LCM(242,544) = ( 242 × 544 ) / 2

LCM(242,544) = 131648 / 2

LCM(242,544) = 65824


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FAQs on GCF of Fractions of 564/242, 461/544

1. What is the HCF of 564,461?

The HCF of 564,461 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 564/242, 461/544?

Answer: GCF of Numerators as per given numbers 564/242, 461/544 is

GCF of Numerators i.e. for 564,461 is 1

LCM of denominators i.e. for 242,544 is 65824.

Thus, GCF of Fractions is 1/65824.Finally, GCF of Fractions for 564/242, 461/544 is 1/65824.