GCF of 396/228, 960/233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 396/228, 960/233 i.e 12/53124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 396/228, 960/233.
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 396/228,960/233?
Given fractions are 396/228,960/233
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 396/228,960/233, numerators are 396,960
Denominators are 228,233
The GCF of 396,960 is 12 .
LCM of 228,233 is 53124.
The greatest common factor of 396/228,960/233 = [GCF of 396,960]/[LCM of 228,233]= 12/53124
Therefore, the GCF of 396/228,960/233 is 12/53124.
To find the highest common factor of 396,960, we have to find the factors of both numbers and list the highest common factor.
The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The HCF of 396,960 is 12.
Lets's calculate GCF of 396,960
| 2 | 396, 960 |
| 2 | 198, 480 |
| 3 | 99, 240 |
| 33, 80 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 396,960 By Matching Biggest Common Factor Method
Now, list down the factors of 396
:1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 396,960 . The biggest common factor number is the GCF number.
So the greatest common factor 396,960 is 12.
Lets's calculate LCM of 228,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 53124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/53124
Therefore, the GCF of Fractions 396/228,960/233 is 12/53124
Least Common Multiple of 228,233 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 228,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,233) x common factors =1 x 1 = 1
LCM(228,233) = ( 228 × 233 ) / 1
LCM(228,233) = 53124 / 1
LCM(228,233) = 53124
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FAQs on GCF of Fractions of 396/228, 960/233
1. What is the HCF of 396,960?
The HCF of 396,960 is 12
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 396/228, 960/233?
Answer: GCF of Numerators as per given numbers 396/228, 960/233 is
GCF of Numerators i.e. for 396,960 is 12
LCM of denominators i.e. for 228,233 is 53124.
Thus, GCF of Fractions is 12/53124.Finally, GCF of Fractions for 396/228, 960/233 is 12/53124.