GCF of 8215/796, 6784/9369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8215/796, 6784/9369 i.e 53/7457724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8215/796, 6784/9369.
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 8215/796,6784/9369?
Given fractions are 8215/796,6784/9369
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 8215/796,6784/9369, numerators are 8215,6784
Denominators are 796,9369
The GCF of 8215,6784 is 53 .
LCM of 796,9369 is 7457724.
The greatest common factor of 8215/796,6784/9369 = [GCF of 8215,6784]/[LCM of 796,9369]= 53/7457724
Therefore, the GCF of 8215/796,6784/9369 is 53/7457724.
To find the highest common factor of 8215,6784, we have to find the factors of both numbers and list the highest common factor.
The factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215
The factors of 6784 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784
The HCF of 8215,6784 is 53.
Lets's calculate GCF of 8215,6784
| 53 | 8215, 6784 |
| 155, 128 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 8215,6784 By Matching Biggest Common Factor Method
Now, list down the factors of 8215
:1,5,31,53,155,265,1643,8215
Now, list down the factors of 6784
:1,2,4,8,16,32,53,64,106,128,212,424,848,1696,3392,6784
Greatest Common Factor
We found the factors 8215,6784 . The biggest common factor number is the GCF number.
So the greatest common factor 8215,6784 is 53.
Lets's calculate LCM of 796,9369
Given numbers has no common factors except 1. So, there LCM is their product i.e 7457724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/7457724
Therefore, the GCF of Fractions 8215/796,6784/9369 is 53/7457724
Least Common Multiple of 796,9369 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 796,9369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,9369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(796,9369) x common factors =1 x 1 = 1
LCM(796,9369) = ( 796 × 9369 ) / 1
LCM(796,9369) = 7457724 / 1
LCM(796,9369) = 7457724
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8215/796, 6784/9369
1. What is the HCF of 8215,6784?
The HCF of 8215,6784 is 53
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 8215/796, 6784/9369?
Answer: GCF of Numerators as per given numbers 8215/796, 6784/9369 is
GCF of Numerators i.e. for 8215,6784 is 53
LCM of denominators i.e. for 796,9369 is 7457724.
Thus, GCF of Fractions is 53/7457724.Finally, GCF of Fractions for 8215/796, 6784/9369 is 53/7457724.