How to Find GCF of 81/78, 583/65, 903/629?

GCF of 81/78, 583/65, 903/629

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 81/78, 583/65, 903/629 i.e 1/245310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/78, 583/65, 903/629.

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 81/78,583/65,903/629?

Given fractions are 81/78,583/65,903/629

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 81/78,583/65,903/629, numerators are 81,583,903

Denominators are 78,65,629

The GCF of 81,583,903 is 1 .

LCM of 78,65,629 is 245310.

The greatest common factor of 81/78,583/65,903/629 = [GCF of 81,583,903]/[LCM of 78,65,629]= 1/245310

Therefore, the GCF of 81/78,583/65,903/629 is 1/245310.

Greatest Common Factor of 81,583,903

To find the highest common factor of 81,583,903, 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 583 are 1, 11, 53, 583

The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903

The HCF of 81,583,903 is 1.

Lets's calculate GCF of 81,583,903

Greatest Common Factor (GCF) of 81,583,903 By Common Division

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

Greatest Common Factor of 81,583,903 By Matching Biggest Common Factor Method

Now, list down the factors of 81

1,3,9,27,81

Now, list down the factors of 583

1,11,53,583

Now, list down the factors of 903

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 81,583,903 . The biggest common factor number is the GCF number.
So the greatest common factor 81,583,903 is 1.

Lets's calculate LCM of 78,65,629

Lowest Common Multiple of 78,65,629 using Common Division

13	78, 65, 629
	6, 5, 629

∴ So the LCM of the given numbers is 13 x 6 x 5 x 629 = 245310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245310

Therefore, the GCF of Fractions 81/78,583/65,903/629 is 1/245310

Least Common Multiple of 78,65,629 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 78,65,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,65,629) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(78,65,629) x common factors =1 x 13 = 13

LCM(78,65,629) = ( 78 × 65 × 629 ) / 13

LCM(78,65,629) = 3189030 / 13

LCM(78,65,629) = 245310

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 81/78, 583/65, 903/629

1. What is the HCF of 81,583,903?

The HCF of 81,583,903 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 81/78, 583/65, 903/629?

Answer: GCF of Numerators as per given numbers 81/78, 583/65, 903/629 is

GCF of Numerators i.e. for 81,583,903 is 1

LCM of denominators i.e. for 78,65,629 is 245310.

Thus, GCF of Fractions is 1/245310.Finally, GCF of Fractions for 81/78, 583/65, 903/629 is 1/245310.