GCF of 8332/828, 9600/4222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8332/828, 9600/4222 i.e 4/1747908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8332/828, 9600/4222.
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 8332/828,9600/4222?
Given fractions are 8332/828,9600/4222
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 8332/828,9600/4222, numerators are 8332,9600
Denominators are 828,4222
The GCF of 8332,9600 is 4 .
LCM of 828,4222 is 1747908.
The greatest common factor of 8332/828,9600/4222 = [GCF of 8332,9600]/[LCM of 828,4222]= 4/1747908
Therefore, the GCF of 8332/828,9600/4222 is 4/1747908.
To find the highest common factor of 8332,9600, we have to find the factors of both numbers and list the highest common factor.
The factors of 8332 are 1, 2, 4, 2083, 4166, 8332
The factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600
The HCF of 8332,9600 is 4.
Lets's calculate GCF of 8332,9600
| 2 | 8332, 9600 |
| 2 | 4166, 4800 |
| 2083, 2400 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8332,9600 By Matching Biggest Common Factor Method
Now, list down the factors of 8332
:1,2,4,2083,4166,8332
Now, list down the factors of 9600
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600
Greatest Common Factor
We found the factors 8332,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 8332,9600 is 4.
Lets's calculate LCM of 828,4222
| 2 | 828, 4222 |
| 414, 2111 |
∴ So the LCM of the given numbers is 2 x 414 x 2111 = 1747908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1747908
Therefore, the GCF of Fractions 8332/828,9600/4222 is 4/1747908
Least Common Multiple of 828,4222 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 828,4222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,4222) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(828,4222) x common factors =2 x 1 = 2
LCM(828,4222) = ( 828 × 4222 ) / 2
LCM(828,4222) = 3495816 / 2
LCM(828,4222) = 1747908
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8332/828, 9600/4222
1. What is the HCF of 8332,9600?
The HCF of 8332,9600 is 4
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 8332/828, 9600/4222?
Answer: GCF of Numerators as per given numbers 8332/828, 9600/4222 is
GCF of Numerators i.e. for 8332,9600 is 4
LCM of denominators i.e. for 828,4222 is 1747908.
Thus, GCF of Fractions is 4/1747908.Finally, GCF of Fractions for 8332/828, 9600/4222 is 4/1747908.