GCF of 8616/349, 3000/9599
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8616/349, 3000/9599 i.e 24/3350051 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8616/349, 3000/9599.
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 8616/349,3000/9599?
Given fractions are 8616/349,3000/9599
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 8616/349,3000/9599, numerators are 8616,3000
Denominators are 349,9599
The GCF of 8616,3000 is 24 .
LCM of 349,9599 is 3350051.
The greatest common factor of 8616/349,3000/9599 = [GCF of 8616,3000]/[LCM of 349,9599]= 24/3350051
Therefore, the GCF of 8616/349,3000/9599 is 24/3350051.
To find the highest common factor of 8616,3000, we have to find the factors of both numbers and list the highest common factor.
The factors of 8616 are 1, 2, 3, 4, 6, 8, 12, 24, 359, 718, 1077, 1436, 2154, 2872, 4308, 8616
The factors of 3000 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 750, 1000, 1500, 3000
The HCF of 8616,3000 is 24.
Lets's calculate GCF of 8616,3000
| 2 | 8616, 3000 |
| 2 | 4308, 1500 |
| 2 | 2154, 750 |
| 3 | 1077, 375 |
| 359, 125 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 8616,3000 By Matching Biggest Common Factor Method
Now, list down the factors of 8616
:1,2,3,4,6,8,12,24,359,718,1077,1436,2154,2872,4308,8616
Now, list down the factors of 3000
:1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,125,150,200,250,300,375,500,600,750,1000,1500,3000
Greatest Common Factor
We found the factors 8616,3000 . The biggest common factor number is the GCF number.
So the greatest common factor 8616,3000 is 24.
Lets's calculate LCM of 349,9599
Given numbers has no common factors except 1. So, there LCM is their product i.e 3350051
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/3350051
Therefore, the GCF of Fractions 8616/349,3000/9599 is 24/3350051
Least Common Multiple of 349,9599 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 349,9599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,9599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,9599) x common factors =1 x 1 = 1
LCM(349,9599) = ( 349 × 9599 ) / 1
LCM(349,9599) = 3350051 / 1
LCM(349,9599) = 3350051
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8616/349, 3000/9599
1. What is the HCF of 8616,3000?
The HCF of 8616,3000 is 24
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 8616/349, 3000/9599?
Answer: GCF of Numerators as per given numbers 8616/349, 3000/9599 is
GCF of Numerators i.e. for 8616,3000 is 24
LCM of denominators i.e. for 349,9599 is 3350051.
Thus, GCF of Fractions is 24/3350051.Finally, GCF of Fractions for 8616/349, 3000/9599 is 24/3350051.