GCF of 9825/468, 5733/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9825/468, 5733/319 i.e 3/149292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9825/468, 5733/319.
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 9825/468,5733/319?
Given fractions are 9825/468,5733/319
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 9825/468,5733/319, numerators are 9825,5733
Denominators are 468,319
The GCF of 9825,5733 is 3 .
LCM of 468,319 is 149292.
The greatest common factor of 9825/468,5733/319 = [GCF of 9825,5733]/[LCM of 468,319]= 3/149292
Therefore, the GCF of 9825/468,5733/319 is 3/149292.
To find the highest common factor of 9825,5733, we have to find the factors of both numbers and list the highest common factor.
The factors of 9825 are 1, 3, 5, 15, 25, 75, 131, 393, 655, 1965, 3275, 9825
The factors of 5733 are 1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733
The HCF of 9825,5733 is 3.
Lets's calculate GCF of 9825,5733
| 3 | 9825, 5733 |
| 3275, 1911 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9825,5733 By Matching Biggest Common Factor Method
Now, list down the factors of 9825
:1,3,5,15,25,75,131,393,655,1965,3275,9825
Now, list down the factors of 5733
:1,3,7,9,13,21,39,49,63,91,117,147,273,441,637,819,1911,5733
Greatest Common Factor
We found the factors 9825,5733 . The biggest common factor number is the GCF number.
So the greatest common factor 9825,5733 is 3.
Lets's calculate LCM of 468,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 149292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149292
Therefore, the GCF of Fractions 9825/468,5733/319 is 3/149292
Least Common Multiple of 468,319 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 468,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(468,319) x common factors =1 x 1 = 1
LCM(468,319) = ( 468 × 319 ) / 1
LCM(468,319) = 149292 / 1
LCM(468,319) = 149292
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9825/468, 5733/319
1. What is the HCF of 9825,5733?
The HCF of 9825,5733 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 9825/468, 5733/319?
Answer: GCF of Numerators as per given numbers 9825/468, 5733/319 is
GCF of Numerators i.e. for 9825,5733 is 3
LCM of denominators i.e. for 468,319 is 149292.
Thus, GCF of Fractions is 3/149292.Finally, GCF of Fractions for 9825/468, 5733/319 is 3/149292.