GCF of 9723/223, 3882/9419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9723/223, 3882/9419 i.e 3/2100437 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9723/223, 3882/9419.
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 9723/223,3882/9419?
Given fractions are 9723/223,3882/9419
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 9723/223,3882/9419, numerators are 9723,3882
Denominators are 223,9419
The GCF of 9723,3882 is 3 .
LCM of 223,9419 is 2100437.
The greatest common factor of 9723/223,3882/9419 = [GCF of 9723,3882]/[LCM of 223,9419]= 3/2100437
Therefore, the GCF of 9723/223,3882/9419 is 3/2100437.
To find the highest common factor of 9723,3882, we have to find the factors of both numbers and list the highest common factor.
The factors of 9723 are 1, 3, 7, 21, 463, 1389, 3241, 9723
The factors of 3882 are 1, 2, 3, 6, 647, 1294, 1941, 3882
The HCF of 9723,3882 is 3.
Lets's calculate GCF of 9723,3882
| 3 | 9723, 3882 |
| 3241, 1294 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9723,3882 By Matching Biggest Common Factor Method
Now, list down the factors of 9723
:1,3,7,21,463,1389,3241,9723
Now, list down the factors of 3882
:1,2,3,6,647,1294,1941,3882
Greatest Common Factor
We found the factors 9723,3882 . The biggest common factor number is the GCF number.
So the greatest common factor 9723,3882 is 3.
Lets's calculate LCM of 223,9419
Given numbers has no common factors except 1. So, there LCM is their product i.e 2100437
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2100437
Therefore, the GCF of Fractions 9723/223,3882/9419 is 3/2100437
Least Common Multiple of 223,9419 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 223,9419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(223,9419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(223,9419) x common factors =1 x 1 = 1
LCM(223,9419) = ( 223 × 9419 ) / 1
LCM(223,9419) = 2100437 / 1
LCM(223,9419) = 2100437
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9723/223, 3882/9419
1. What is the HCF of 9723,3882?
The HCF of 9723,3882 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 9723/223, 3882/9419?
Answer: GCF of Numerators as per given numbers 9723/223, 3882/9419 is
GCF of Numerators i.e. for 9723,3882 is 3
LCM of denominators i.e. for 223,9419 is 2100437.
Thus, GCF of Fractions is 3/2100437.Finally, GCF of Fractions for 9723/223, 3882/9419 is 3/2100437.