GCF of 9999/550, 5010/5198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9999/550, 5010/5198 i.e 3/1429450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9999/550, 5010/5198.
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 9999/550,5010/5198?
Given fractions are 9999/550,5010/5198
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 9999/550,5010/5198, numerators are 9999,5010
Denominators are 550,5198
The GCF of 9999,5010 is 3 .
LCM of 550,5198 is 1429450.
The greatest common factor of 9999/550,5010/5198 = [GCF of 9999,5010]/[LCM of 550,5198]= 3/1429450
Therefore, the GCF of 9999/550,5010/5198 is 3/1429450.
To find the highest common factor of 9999,5010, we have to find the factors of both numbers and list the highest common factor.
The factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999
The factors of 5010 are 1, 2, 3, 5, 6, 10, 15, 30, 167, 334, 501, 835, 1002, 1670, 2505, 5010
The HCF of 9999,5010 is 3.
Lets's calculate GCF of 9999,5010
| 3 | 9999, 5010 |
| 3333, 1670 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9999,5010 By Matching Biggest Common Factor Method
Now, list down the factors of 9999
:1,3,9,11,33,99,101,303,909,1111,3333,9999
Now, list down the factors of 5010
:1,2,3,5,6,10,15,30,167,334,501,835,1002,1670,2505,5010
Greatest Common Factor
We found the factors 9999,5010 . The biggest common factor number is the GCF number.
So the greatest common factor 9999,5010 is 3.
Lets's calculate LCM of 550,5198
| 2 | 550, 5198 |
| 275, 2599 |
∴ So the LCM of the given numbers is 2 x 275 x 2599 = 1429450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1429450
Therefore, the GCF of Fractions 9999/550,5010/5198 is 3/1429450
Least Common Multiple of 550,5198 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 550,5198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,5198) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(550,5198) x common factors =2 x 1 = 2
LCM(550,5198) = ( 550 × 5198 ) / 2
LCM(550,5198) = 2858900 / 2
LCM(550,5198) = 1429450
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9999/550, 5010/5198
1. What is the HCF of 9999,5010?
The HCF of 9999,5010 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 9999/550, 5010/5198?
Answer: GCF of Numerators as per given numbers 9999/550, 5010/5198 is
GCF of Numerators i.e. for 9999,5010 is 3
LCM of denominators i.e. for 550,5198 is 1429450.
Thus, GCF of Fractions is 3/1429450.Finally, GCF of Fractions for 9999/550, 5010/5198 is 3/1429450.