How to Find GCF of 23/467, 81/941, 741/998?

GCF of 23/467, 81/941, 741/998

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 23/467, 81/941, 741/998 i.e 1/438568106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 23/467, 81/941, 741/998.

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 23/467,81/941,741/998?

Given fractions are 23/467,81/941,741/998

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 23/467,81/941,741/998, numerators are 23,81,741

Denominators are 467,941,998

The GCF of 23,81,741 is 1 .

LCM of 467,941,998 is 438568106.

The greatest common factor of 23/467,81/941,741/998 = [GCF of 23,81,741]/[LCM of 467,941,998]= 1/438568106

Therefore, the GCF of 23/467,81/941,741/998 is 1/438568106.

Greatest Common Factor of 23,81,741

To find the highest common factor of 23,81,741, we have to find the factors of both numbers and list the highest common factor.

The factors of 23 are 1, 23

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

The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741

The HCF of 23,81,741 is 1.

Lets's calculate GCF of 23,81,741

Greatest Common Factor (GCF) of 23,81,741 By Common Division

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

Greatest Common Factor of 23,81,741 By Matching Biggest Common Factor Method

Now, list down the factors of 23

1,23

Now, list down the factors of 81

1,3,9,27,81

Now, list down the factors of 741

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 23,81,741 . The biggest common factor number is the GCF number.
So the greatest common factor 23,81,741 is 1.

Lets's calculate LCM of 467,941,998

Lowest Common Multiple of 467,941,998 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 438568106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/438568106

Therefore, the GCF of Fractions 23/467,81/941,741/998 is 1/438568106

Least Common Multiple of 467,941,998 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 467,941,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,941,998) = 1

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

GCF(467,941,998) x common factors =1 x 1 = 1

LCM(467,941,998) = ( 467 × 941 × 998 ) / 1

LCM(467,941,998) = 438568106 / 1

LCM(467,941,998) = 438568106

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 23/467, 81/941, 741/998

1. What is the HCF of 23,81,741?

The HCF of 23,81,741 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 23/467, 81/941, 741/998?

Answer: GCF of Numerators as per given numbers 23/467, 81/941, 741/998 is

GCF of Numerators i.e. for 23,81,741 is 1

LCM of denominators i.e. for 467,941,998 is 438568106.

Thus, GCF of Fractions is 1/438568106.Finally, GCF of Fractions for 23/467, 81/941, 741/998 is 1/438568106.