GCF of 9/39, 24/601, 81/457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9/39, 24/601, 81/457 i.e 3/10711623 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/39, 24/601, 81/457.
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 9/39,24/601,81/457?
Given fractions are 9/39,24/601,81/457
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 9/39,24/601,81/457, numerators are 9,24,81
Denominators are 39,601,457
The GCF of 9,24,81 is 3 .
LCM of 39,601,457 is 10711623.
The greatest common factor of 9/39,24/601,81/457 = [GCF of 9,24,81]/[LCM of 39,601,457]= 3/10711623
Therefore, the GCF of 9/39,24/601,81/457 is 3/10711623.
To find the highest common factor of 9,24,81, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 81 are 1, 3, 9, 27, 81
The HCF of 9,24,81 is 3.
Lets's calculate GCF of 9,24,81
| 3 | 9, 24, 81 |
| 3, 8, 27 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9,24,81 By Matching Biggest Common Factor Method
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 81
:1,3,9,27,81
Greatest Common Factor
We found the factors 9,24,81 . The biggest common factor number is the GCF number.
So the greatest common factor 9,24,81 is 3.
Lets's calculate LCM of 39,601,457
Given numbers has no common factors except 1. So, there LCM is their product i.e 10711623
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10711623
Therefore, the GCF of Fractions 9/39,24/601,81/457 is 3/10711623
Least Common Multiple of 39,601,457 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 39,601,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,601,457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,601,457) x common factors =1 x 1 = 1
LCM(39,601,457) = ( 39 × 601 × 457 ) / 1
LCM(39,601,457) = 10711623 / 1
LCM(39,601,457) = 10711623
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9/39, 24/601, 81/457
1. What is the HCF of 9,24,81?
The HCF of 9,24,81 is 3
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 9/39, 24/601, 81/457?
Answer: GCF of Numerators as per given numbers 9/39, 24/601, 81/457 is
GCF of Numerators i.e. for 9,24,81 is 3
LCM of denominators i.e. for 39,601,457 is 10711623.
Thus, GCF of Fractions is 3/10711623.Finally, GCF of Fractions for 9/39, 24/601, 81/457 is 3/10711623.