GCF of 8337/411, 5724/5317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8337/411, 5724/5317 i.e 3/2185287 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8337/411, 5724/5317.
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 8337/411,5724/5317?
Given fractions are 8337/411,5724/5317
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 8337/411,5724/5317, numerators are 8337,5724
Denominators are 411,5317
The GCF of 8337,5724 is 3 .
LCM of 411,5317 is 2185287.
The greatest common factor of 8337/411,5724/5317 = [GCF of 8337,5724]/[LCM of 411,5317]= 3/2185287
Therefore, the GCF of 8337/411,5724/5317 is 3/2185287.
To find the highest common factor of 8337,5724, we have to find the factors of both numbers and list the highest common factor.
The factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337
The factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724
The HCF of 8337,5724 is 3.
Lets's calculate GCF of 8337,5724
| 3 | 8337, 5724 |
| 2779, 1908 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8337,5724 By Matching Biggest Common Factor Method
Now, list down the factors of 8337
:1,3,7,21,397,1191,2779,8337
Now, list down the factors of 5724
:1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724
Greatest Common Factor
We found the factors 8337,5724 . The biggest common factor number is the GCF number.
So the greatest common factor 8337,5724 is 3.
Lets's calculate LCM of 411,5317
Given numbers has no common factors except 1. So, there LCM is their product i.e 2185287
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2185287
Therefore, the GCF of Fractions 8337/411,5724/5317 is 3/2185287
Least Common Multiple of 411,5317 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 411,5317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,5317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(411,5317) x common factors =1 x 1 = 1
LCM(411,5317) = ( 411 × 5317 ) / 1
LCM(411,5317) = 2185287 / 1
LCM(411,5317) = 2185287
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FAQs on GCF of Fractions of 8337/411, 5724/5317
1. What is the HCF of 8337,5724?
The HCF of 8337,5724 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 8337/411, 5724/5317?
Answer: GCF of Numerators as per given numbers 8337/411, 5724/5317 is
GCF of Numerators i.e. for 8337,5724 is 3
LCM of denominators i.e. for 411,5317 is 2185287.
Thus, GCF of Fractions is 3/2185287.Finally, GCF of Fractions for 8337/411, 5724/5317 is 3/2185287.