GCF of 8584/516, 8766/2282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8584/516, 8766/2282 i.e 2/588756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8584/516, 8766/2282.
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 8584/516,8766/2282?
Given fractions are 8584/516,8766/2282
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 8584/516,8766/2282, numerators are 8584,8766
Denominators are 516,2282
The GCF of 8584,8766 is 2 .
LCM of 516,2282 is 588756.
The greatest common factor of 8584/516,8766/2282 = [GCF of 8584,8766]/[LCM of 516,2282]= 2/588756
Therefore, the GCF of 8584/516,8766/2282 is 2/588756.
To find the highest common factor of 8584,8766, we have to find the factors of both numbers and list the highest common factor.
The factors of 8584 are 1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584
The factors of 8766 are 1, 2, 3, 6, 9, 18, 487, 974, 1461, 2922, 4383, 8766
The HCF of 8584,8766 is 2.
Lets's calculate GCF of 8584,8766
| 2 | 8584, 8766 |
| 4292, 4383 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8584,8766 By Matching Biggest Common Factor Method
Now, list down the factors of 8584
:1,2,4,8,29,37,58,74,116,148,232,296,1073,2146,4292,8584
Now, list down the factors of 8766
:1,2,3,6,9,18,487,974,1461,2922,4383,8766
Greatest Common Factor
We found the factors 8584,8766 . The biggest common factor number is the GCF number.
So the greatest common factor 8584,8766 is 2.
Lets's calculate LCM of 516,2282
| 2 | 516, 2282 |
| 258, 1141 |
∴ So the LCM of the given numbers is 2 x 258 x 1141 = 588756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/588756
Therefore, the GCF of Fractions 8584/516,8766/2282 is 2/588756
Least Common Multiple of 516,2282 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 516,2282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,2282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(516,2282) x common factors =2 x 1 = 2
LCM(516,2282) = ( 516 × 2282 ) / 2
LCM(516,2282) = 1177512 / 2
LCM(516,2282) = 588756
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8584/516, 8766/2282
1. What is the HCF of 8584,8766?
The HCF of 8584,8766 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 8584/516, 8766/2282?
Answer: GCF of Numerators as per given numbers 8584/516, 8766/2282 is
GCF of Numerators i.e. for 8584,8766 is 2
LCM of denominators i.e. for 516,2282 is 588756.
Thus, GCF of Fractions is 2/588756.Finally, GCF of Fractions for 8584/516, 8766/2282 is 2/588756.