How to Find GCF of 81/724, 23/644, 755/554?

GCF of 81/724, 23/644, 755/554

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 81/724, 23/644, 755/554 i.e 1/32288228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/724, 23/644, 755/554.

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 81/724,23/644,755/554?

Given fractions are 81/724,23/644,755/554

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 81/724,23/644,755/554, numerators are 81,23,755

Denominators are 724,644,554

The GCF of 81,23,755 is 1 .

LCM of 724,644,554 is 32288228.

The greatest common factor of 81/724,23/644,755/554 = [GCF of 81,23,755]/[LCM of 724,644,554]= 1/32288228

Therefore, the GCF of 81/724,23/644,755/554 is 1/32288228.

Greatest Common Factor of 81,23,755

To find the highest common factor of 81,23,755, 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 23 are 1, 23

The factors of 755 are 1, 5, 151, 755

The HCF of 81,23,755 is 1.

Lets's calculate GCF of 81,23,755

Greatest Common Factor (GCF) of 81,23,755 By Common Division

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

Greatest Common Factor of 81,23,755 By Matching Biggest Common Factor Method

Now, list down the factors of 81

1,3,9,27,81

Now, list down the factors of 23

1,23

Now, list down the factors of 755

1,5,151,755

Greatest Common Factor

We found the factors 81,23,755 . The biggest common factor number is the GCF number.
So the greatest common factor 81,23,755 is 1.

Lets's calculate LCM of 724,644,554

Lowest Common Multiple of 724,644,554 using Common Division

2	724, 644, 554
2	362, 322, 277
	181, 161, 277

∴ So the LCM of the given numbers is 2 x 2 x 181 x 161 x 277 = 32288228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32288228

Therefore, the GCF of Fractions 81/724,23/644,755/554 is 1/32288228

Least Common Multiple of 724,644,554 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 724,644,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,644,554) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(724,644,554) x common factors =2 x 4 = 8

LCM(724,644,554) = ( 724 × 644 × 554 ) / 8

LCM(724,644,554) = 258305824 / 8

LCM(724,644,554) = 32288228

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 81/724, 23/644, 755/554

1. What is the HCF of 81,23,755?

The HCF of 81,23,755 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 81/724, 23/644, 755/554?

Answer: GCF of Numerators as per given numbers 81/724, 23/644, 755/554 is

GCF of Numerators i.e. for 81,23,755 is 1

LCM of denominators i.e. for 724,644,554 is 32288228.

Thus, GCF of Fractions is 1/32288228.Finally, GCF of Fractions for 81/724, 23/644, 755/554 is 1/32288228.