GCF of 40/87, 81/369, 721/738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 40/87, 81/369, 721/738 i.e 1/21402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/87, 81/369, 721/738.
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 40/87,81/369,721/738?
Given fractions are 40/87,81/369,721/738
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 40/87,81/369,721/738, numerators are 40,81,721
Denominators are 87,369,738
The GCF of 40,81,721 is 1 .
LCM of 87,369,738 is 21402.
The greatest common factor of 40/87,81/369,721/738 = [GCF of 40,81,721]/[LCM of 87,369,738]= 1/21402
Therefore, the GCF of 40/87,81/369,721/738 is 1/21402.
To find the highest common factor of 40,81,721, we have to find the factors of both numbers and list the highest common factor.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 81 are 1, 3, 9, 27, 81
The factors of 721 are 1, 7, 103, 721
The HCF of 40,81,721 is 1.
Lets's calculate GCF of 40,81,721
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 40,81,721 By Matching Biggest Common Factor Method
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 721
:1,7,103,721
Greatest Common Factor
We found the factors 40,81,721 . The biggest common factor number is the GCF number.
So the greatest common factor 40,81,721 is 1.
Lets's calculate LCM of 87,369,738
| 3 | 87, 369, 738 |
| 3 | 29, 123, 246 |
| 41 | 29, 41, 82 |
| 29, 1, 2 |
∴ So the LCM of the given numbers is 3 x 3 x 41 x 29 x 1 x 2 = 21402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21402
Therefore, the GCF of Fractions 40/87,81/369,721/738 is 1/21402
Least Common Multiple of 87,369,738 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 87,369,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,369,738) = 3
common factors(in case of two or more numbers have common factors) = 369
GCF(87,369,738) x common factors =3 x 369 = 1107
LCM(87,369,738) = ( 87 × 369 × 738 ) / 1107
LCM(87,369,738) = 23692014 / 1107
LCM(87,369,738) = 21402
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 40/87, 81/369, 721/738
1. What is the HCF of 40,81,721?
The HCF of 40,81,721 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 40/87, 81/369, 721/738?
Answer: GCF of Numerators as per given numbers 40/87, 81/369, 721/738 is
GCF of Numerators i.e. for 40,81,721 is 1
LCM of denominators i.e. for 87,369,738 is 21402.
Thus, GCF of Fractions is 1/21402.Finally, GCF of Fractions for 40/87, 81/369, 721/738 is 1/21402.