GCF of 4220/304, 8000/652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4220/304, 8000/652 i.e 20/49552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4220/304, 8000/652.
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 4220/304,8000/652?
Given fractions are 4220/304,8000/652
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 4220/304,8000/652, numerators are 4220,8000
Denominators are 304,652
The GCF of 4220,8000 is 20 .
LCM of 304,652 is 49552.
The greatest common factor of 4220/304,8000/652 = [GCF of 4220,8000]/[LCM of 304,652]= 20/49552
Therefore, the GCF of 4220/304,8000/652 is 20/49552.
To find the highest common factor of 4220,8000, we have to find the factors of both numbers and list the highest common factor.
The factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220
The factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000
The HCF of 4220,8000 is 20.
Lets's calculate GCF of 4220,8000
| 2 | 4220, 8000 |
| 2 | 2110, 4000 |
| 5 | 1055, 2000 |
| 211, 400 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 4220,8000 By Matching Biggest Common Factor Method
Now, list down the factors of 4220
:1,2,4,5,10,20,211,422,844,1055,2110,4220
Now, list down the factors of 8000
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,125,160,200,250,320,400,500,800,1000,1600,2000,4000,8000
Greatest Common Factor
We found the factors 4220,8000 . The biggest common factor number is the GCF number.
So the greatest common factor 4220,8000 is 20.
Lets's calculate LCM of 304,652
| 2 | 304, 652 |
| 2 | 152, 326 |
| 76, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 76 x 163 = 49552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/49552
Therefore, the GCF of Fractions 4220/304,8000/652 is 20/49552
Least Common Multiple of 304,652 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 304,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,652) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(304,652) x common factors =4 x 1 = 4
LCM(304,652) = ( 304 × 652 ) / 4
LCM(304,652) = 198208 / 4
LCM(304,652) = 49552
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FAQs on GCF of Fractions of 4220/304, 8000/652
1. What is the HCF of 4220,8000?
The HCF of 4220,8000 is 20
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 4220/304, 8000/652?
Answer: GCF of Numerators as per given numbers 4220/304, 8000/652 is
GCF of Numerators i.e. for 4220,8000 is 20
LCM of denominators i.e. for 304,652 is 49552.
Thus, GCF of Fractions is 20/49552.Finally, GCF of Fractions for 4220/304, 8000/652 is 20/49552.