GCF of 2250/369, 9998/8511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2250/369, 9998/8511 i.e 2/1046853 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2250/369, 9998/8511.
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 2250/369,9998/8511?
Given fractions are 2250/369,9998/8511
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 2250/369,9998/8511, numerators are 2250,9998
Denominators are 369,8511
The GCF of 2250,9998 is 2 .
LCM of 369,8511 is 1046853.
The greatest common factor of 2250/369,9998/8511 = [GCF of 2250,9998]/[LCM of 369,8511]= 2/1046853
Therefore, the GCF of 2250/369,9998/8511 is 2/1046853.
To find the highest common factor of 2250,9998, we have to find the factors of both numbers and list the highest common factor.
The factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250
The factors of 9998 are 1, 2, 4999, 9998
The HCF of 2250,9998 is 2.
Lets's calculate GCF of 2250,9998
| 2 | 2250, 9998 |
| 1125, 4999 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2250,9998 By Matching Biggest Common Factor Method
Now, list down the factors of 2250
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,125,150,225,250,375,450,750,1125,2250
Now, list down the factors of 9998
:1,2,4999,9998
Greatest Common Factor
We found the factors 2250,9998 . The biggest common factor number is the GCF number.
So the greatest common factor 2250,9998 is 2.
Lets's calculate LCM of 369,8511
| 3 | 369, 8511 |
| 123, 2837 |
∴ So the LCM of the given numbers is 3 x 123 x 2837 = 1046853
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1046853
Therefore, the GCF of Fractions 2250/369,9998/8511 is 2/1046853
Least Common Multiple of 369,8511 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 369,8511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,8511) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(369,8511) x common factors =3 x 1 = 3
LCM(369,8511) = ( 369 × 8511 ) / 3
LCM(369,8511) = 3140559 / 3
LCM(369,8511) = 1046853
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2250/369, 9998/8511
1. What is the HCF of 2250,9998?
The HCF of 2250,9998 is 2
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 2250/369, 9998/8511?
Answer: GCF of Numerators as per given numbers 2250/369, 9998/8511 is
GCF of Numerators i.e. for 2250,9998 is 2
LCM of denominators i.e. for 369,8511 is 1046853.
Thus, GCF of Fractions is 2/1046853.Finally, GCF of Fractions for 2250/369, 9998/8511 is 2/1046853.