GCF of 2316/993, 7965/8430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2316/993, 7965/8430 i.e 3/2790330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2316/993, 7965/8430.
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 2316/993,7965/8430?
Given fractions are 2316/993,7965/8430
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 2316/993,7965/8430, numerators are 2316,7965
Denominators are 993,8430
The GCF of 2316,7965 is 3 .
LCM of 993,8430 is 2790330.
The greatest common factor of 2316/993,7965/8430 = [GCF of 2316,7965]/[LCM of 993,8430]= 3/2790330
Therefore, the GCF of 2316/993,7965/8430 is 3/2790330.
To find the highest common factor of 2316,7965, we have to find the factors of both numbers and list the highest common factor.
The factors of 2316 are 1, 2, 3, 4, 6, 12, 193, 386, 579, 772, 1158, 2316
The factors of 7965 are 1, 3, 5, 9, 15, 27, 45, 59, 135, 177, 295, 531, 885, 1593, 2655, 7965
The HCF of 2316,7965 is 3.
Lets's calculate GCF of 2316,7965
| 3 | 2316, 7965 |
| 772, 2655 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2316,7965 By Matching Biggest Common Factor Method
Now, list down the factors of 2316
:1,2,3,4,6,12,193,386,579,772,1158,2316
Now, list down the factors of 7965
:1,3,5,9,15,27,45,59,135,177,295,531,885,1593,2655,7965
Greatest Common Factor
We found the factors 2316,7965 . The biggest common factor number is the GCF number.
So the greatest common factor 2316,7965 is 3.
Lets's calculate LCM of 993,8430
| 3 | 993, 8430 |
| 331, 2810 |
∴ So the LCM of the given numbers is 3 x 331 x 2810 = 2790330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2790330
Therefore, the GCF of Fractions 2316/993,7965/8430 is 3/2790330
Least Common Multiple of 993,8430 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 993,8430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,8430) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(993,8430) x common factors =3 x 1 = 3
LCM(993,8430) = ( 993 × 8430 ) / 3
LCM(993,8430) = 8370990 / 3
LCM(993,8430) = 2790330
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2316/993, 7965/8430
1. What is the HCF of 2316,7965?
The HCF of 2316,7965 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 2316/993, 7965/8430?
Answer: GCF of Numerators as per given numbers 2316/993, 7965/8430 is
GCF of Numerators i.e. for 2316,7965 is 3
LCM of denominators i.e. for 993,8430 is 2790330.
Thus, GCF of Fractions is 3/2790330.Finally, GCF of Fractions for 2316/993, 7965/8430 is 3/2790330.