GCF of 3920/939, 1984/4533
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3920/939, 1984/4533 i.e 16/1418829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3920/939, 1984/4533.
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 3920/939,1984/4533?
Given fractions are 3920/939,1984/4533
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 3920/939,1984/4533, numerators are 3920,1984
Denominators are 939,4533
The GCF of 3920,1984 is 16 .
LCM of 939,4533 is 1418829.
The greatest common factor of 3920/939,1984/4533 = [GCF of 3920,1984]/[LCM of 939,4533]= 16/1418829
Therefore, the GCF of 3920/939,1984/4533 is 16/1418829.
To find the highest common factor of 3920,1984, we have to find the factors of both numbers and list the highest common factor.
The factors of 3920 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920
The factors of 1984 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 992, 1984
The HCF of 3920,1984 is 16.
Lets's calculate GCF of 3920,1984
| 2 | 3920, 1984 |
| 2 | 1960, 992 |
| 2 | 980, 496 |
| 2 | 490, 248 |
| 245, 124 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 3920,1984 By Matching Biggest Common Factor Method
Now, list down the factors of 3920
:1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920
Now, list down the factors of 1984
:1,2,4,8,16,31,32,62,64,124,248,496,992,1984
Greatest Common Factor
We found the factors 3920,1984 . The biggest common factor number is the GCF number.
So the greatest common factor 3920,1984 is 16.
Lets's calculate LCM of 939,4533
| 3 | 939, 4533 |
| 313, 1511 |
∴ So the LCM of the given numbers is 3 x 313 x 1511 = 1418829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1418829
Therefore, the GCF of Fractions 3920/939,1984/4533 is 16/1418829
Least Common Multiple of 939,4533 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 939,4533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,4533) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(939,4533) x common factors =3 x 1 = 3
LCM(939,4533) = ( 939 × 4533 ) / 3
LCM(939,4533) = 4256487 / 3
LCM(939,4533) = 1418829
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FAQs on GCF of Fractions of 3920/939, 1984/4533
1. What is the HCF of 3920,1984?
The HCF of 3920,1984 is 16
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 3920/939, 1984/4533?
Answer: GCF of Numerators as per given numbers 3920/939, 1984/4533 is
GCF of Numerators i.e. for 3920,1984 is 16
LCM of denominators i.e. for 939,4533 is 1418829.
Thus, GCF of Fractions is 16/1418829.Finally, GCF of Fractions for 3920/939, 1984/4533 is 16/1418829.