GCF of 5899/828, 8364/4218
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5899/828, 8364/4218 i.e 17/582084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5899/828, 8364/4218.
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 5899/828,8364/4218?
Given fractions are 5899/828,8364/4218
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 5899/828,8364/4218, numerators are 5899,8364
Denominators are 828,4218
The GCF of 5899,8364 is 17 .
LCM of 828,4218 is 582084.
The greatest common factor of 5899/828,8364/4218 = [GCF of 5899,8364]/[LCM of 828,4218]= 17/582084
Therefore, the GCF of 5899/828,8364/4218 is 17/582084.
To find the highest common factor of 5899,8364, we have to find the factors of both numbers and list the highest common factor.
The factors of 5899 are 1, 17, 347, 5899
The factors of 8364 are 1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364
The HCF of 5899,8364 is 17.
Lets's calculate GCF of 5899,8364
| 17 | 5899, 8364 |
| 347, 492 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 5899,8364 By Matching Biggest Common Factor Method
Now, list down the factors of 5899
:1,17,347,5899
Now, list down the factors of 8364
:1,2,3,4,6,12,17,34,41,51,68,82,102,123,164,204,246,492,697,1394,2091,2788,4182,8364
Greatest Common Factor
We found the factors 5899,8364 . The biggest common factor number is the GCF number.
So the greatest common factor 5899,8364 is 17.
Lets's calculate LCM of 828,4218
| 2 | 828, 4218 |
| 3 | 414, 2109 |
| 138, 703 |
∴ So the LCM of the given numbers is 2 x 3 x 138 x 703 = 582084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/582084
Therefore, the GCF of Fractions 5899/828,8364/4218 is 17/582084
Least Common Multiple of 828,4218 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 828,4218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,4218) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(828,4218) x common factors =6 x 1 = 6
LCM(828,4218) = ( 828 × 4218 ) / 6
LCM(828,4218) = 3492504 / 6
LCM(828,4218) = 582084
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5899/828, 8364/4218
1. What is the HCF of 5899,8364?
The HCF of 5899,8364 is 17
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 5899/828, 8364/4218?
Answer: GCF of Numerators as per given numbers 5899/828, 8364/4218 is
GCF of Numerators i.e. for 5899,8364 is 17
LCM of denominators i.e. for 828,4218 is 582084.
Thus, GCF of Fractions is 17/582084.Finally, GCF of Fractions for 5899/828, 8364/4218 is 17/582084.