GCF of 8823/399, 1584/6854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8823/399, 1584/6854 i.e 3/2734746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8823/399, 1584/6854.
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 8823/399,1584/6854?
Given fractions are 8823/399,1584/6854
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 8823/399,1584/6854, numerators are 8823,1584
Denominators are 399,6854
The GCF of 8823,1584 is 3 .
LCM of 399,6854 is 2734746.
The greatest common factor of 8823/399,1584/6854 = [GCF of 8823,1584]/[LCM of 399,6854]= 3/2734746
Therefore, the GCF of 8823/399,1584/6854 is 3/2734746.
To find the highest common factor of 8823,1584, we have to find the factors of both numbers and list the highest common factor.
The factors of 8823 are 1, 3, 17, 51, 173, 519, 2941, 8823
The factors of 1584 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584
The HCF of 8823,1584 is 3.
Lets's calculate GCF of 8823,1584
| 3 | 8823, 1584 |
| 2941, 528 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8823,1584 By Matching Biggest Common Factor Method
Now, list down the factors of 8823
:1,3,17,51,173,519,2941,8823
Now, list down the factors of 1584
:1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584
Greatest Common Factor
We found the factors 8823,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 8823,1584 is 3.
Lets's calculate LCM of 399,6854
Given numbers has no common factors except 1. So, there LCM is their product i.e 2734746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2734746
Therefore, the GCF of Fractions 8823/399,1584/6854 is 3/2734746
Least Common Multiple of 399,6854 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 399,6854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,6854) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(399,6854) x common factors =1 x 1 = 1
LCM(399,6854) = ( 399 × 6854 ) / 1
LCM(399,6854) = 2734746 / 1
LCM(399,6854) = 2734746
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8823/399, 1584/6854
1. What is the HCF of 8823,1584?
The HCF of 8823,1584 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 8823/399, 1584/6854?
Answer: GCF of Numerators as per given numbers 8823/399, 1584/6854 is
GCF of Numerators i.e. for 8823,1584 is 3
LCM of denominators i.e. for 399,6854 is 2734746.
Thus, GCF of Fractions is 3/2734746.Finally, GCF of Fractions for 8823/399, 1584/6854 is 3/2734746.