GCF of 9312/772, 3300/3833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9312/772, 3300/3833 i.e 12/2959076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9312/772, 3300/3833.
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 9312/772,3300/3833?
Given fractions are 9312/772,3300/3833
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 9312/772,3300/3833, numerators are 9312,3300
Denominators are 772,3833
The GCF of 9312,3300 is 12 .
LCM of 772,3833 is 2959076.
The greatest common factor of 9312/772,3300/3833 = [GCF of 9312,3300]/[LCM of 772,3833]= 12/2959076
Therefore, the GCF of 9312/772,3300/3833 is 12/2959076.
To find the highest common factor of 9312,3300, we have to find the factors of both numbers and list the highest common factor.
The factors of 9312 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 9312
The factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300
The HCF of 9312,3300 is 12.
Lets's calculate GCF of 9312,3300
| 2 | 9312, 3300 |
| 2 | 4656, 1650 |
| 3 | 2328, 825 |
| 776, 275 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9312,3300 By Matching Biggest Common Factor Method
Now, list down the factors of 9312
:1,2,3,4,6,8,12,16,24,32,48,96,97,194,291,388,582,776,1164,1552,2328,3104,4656,9312
Now, list down the factors of 3300
:1,2,3,4,5,6,10,11,12,15,20,22,25,30,33,44,50,55,60,66,75,100,110,132,150,165,220,275,300,330,550,660,825,1100,1650,3300
Greatest Common Factor
We found the factors 9312,3300 . The biggest common factor number is the GCF number.
So the greatest common factor 9312,3300 is 12.
Lets's calculate LCM of 772,3833
Given numbers has no common factors except 1. So, there LCM is their product i.e 2959076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2959076
Therefore, the GCF of Fractions 9312/772,3300/3833 is 12/2959076
Least Common Multiple of 772,3833 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 772,3833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,3833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,3833) x common factors =1 x 1 = 1
LCM(772,3833) = ( 772 × 3833 ) / 1
LCM(772,3833) = 2959076 / 1
LCM(772,3833) = 2959076
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9312/772, 3300/3833
1. What is the HCF of 9312,3300?
The HCF of 9312,3300 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 9312/772, 3300/3833?
Answer: GCF of Numerators as per given numbers 9312/772, 3300/3833 is
GCF of Numerators i.e. for 9312,3300 is 12
LCM of denominators i.e. for 772,3833 is 2959076.
Thus, GCF of Fractions is 12/2959076.Finally, GCF of Fractions for 9312/772, 3300/3833 is 12/2959076.