GCF of 8586/369, 6578/9173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8586/369, 6578/9173 i.e 2/3384837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8586/369, 6578/9173.
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 8586/369,6578/9173?
Given fractions are 8586/369,6578/9173
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 8586/369,6578/9173, numerators are 8586,6578
Denominators are 369,9173
The GCF of 8586,6578 is 2 .
LCM of 369,9173 is 3384837.
The greatest common factor of 8586/369,6578/9173 = [GCF of 8586,6578]/[LCM of 369,9173]= 2/3384837
Therefore, the GCF of 8586/369,6578/9173 is 2/3384837.
To find the highest common factor of 8586,6578, we have to find the factors of both numbers and list the highest common factor.
The factors of 8586 are 1, 2, 3, 6, 9, 18, 27, 53, 54, 81, 106, 159, 162, 318, 477, 954, 1431, 2862, 4293, 8586
The factors of 6578 are 1, 2, 11, 13, 22, 23, 26, 46, 143, 253, 286, 299, 506, 598, 3289, 6578
The HCF of 8586,6578 is 2.
Lets's calculate GCF of 8586,6578
| 2 | 8586, 6578 |
| 4293, 3289 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8586,6578 By Matching Biggest Common Factor Method
Now, list down the factors of 8586
:1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586
Now, list down the factors of 6578
:1,2,11,13,22,23,26,46,143,253,286,299,506,598,3289,6578
Greatest Common Factor
We found the factors 8586,6578 . The biggest common factor number is the GCF number.
So the greatest common factor 8586,6578 is 2.
Lets's calculate LCM of 369,9173
Given numbers has no common factors except 1. So, there LCM is their product i.e 3384837
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3384837
Therefore, the GCF of Fractions 8586/369,6578/9173 is 2/3384837
Least Common Multiple of 369,9173 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 369,9173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,9173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,9173) x common factors =1 x 1 = 1
LCM(369,9173) = ( 369 × 9173 ) / 1
LCM(369,9173) = 3384837 / 1
LCM(369,9173) = 3384837
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8586/369, 6578/9173
1. What is the HCF of 8586,6578?
The HCF of 8586,6578 is 2
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 8586/369, 6578/9173?
Answer: GCF of Numerators as per given numbers 8586/369, 6578/9173 is
GCF of Numerators i.e. for 8586,6578 is 2
LCM of denominators i.e. for 369,9173 is 3384837.
Thus, GCF of Fractions is 2/3384837.Finally, GCF of Fractions for 8586/369, 6578/9173 is 2/3384837.