GCF of 3230/464, 3990/631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3230/464, 3990/631 i.e 190/292784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3230/464, 3990/631.
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 3230/464,3990/631?
Given fractions are 3230/464,3990/631
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 3230/464,3990/631, numerators are 3230,3990
Denominators are 464,631
The GCF of 3230,3990 is 190 .
LCM of 464,631 is 292784.
The greatest common factor of 3230/464,3990/631 = [GCF of 3230,3990]/[LCM of 464,631]= 190/292784
Therefore, the GCF of 3230/464,3990/631 is 190/292784.
To find the highest common factor of 3230,3990, we have to find the factors of both numbers and list the highest common factor.
The factors of 3230 are 1, 2, 5, 10, 17, 19, 34, 38, 85, 95, 170, 190, 323, 646, 1615, 3230
The factors of 3990 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 57, 70, 95, 105, 114, 133, 190, 210, 266, 285, 399, 570, 665, 798, 1330, 1995, 3990
The HCF of 3230,3990 is 190.
Lets's calculate GCF of 3230,3990
| 2 | 3230, 3990 |
| 5 | 1615, 1995 |
| 19 | 323, 399 |
| 17, 21 |
∴ So the GCF of the given numbers is 2 x 5 x 19 = 190
Greatest Common Factor of 3230,3990 By Matching Biggest Common Factor Method
Now, list down the factors of 3230
:1,2,5,10,17,19,34,38,85,95,170,190,323,646,1615,3230
Now, list down the factors of 3990
:1,2,3,5,6,7,10,14,15,19,21,30,35,38,42,57,70,95,105,114,133,190,210,266,285,399,570,665,798,1330,1995,3990
Greatest Common Factor
We found the factors 3230,3990 . The biggest common factor number is the GCF number.
So the greatest common factor 3230,3990 is 190.
Lets's calculate LCM of 464,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 292784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 190/292784
Therefore, the GCF of Fractions 3230/464,3990/631 is 190/292784
Least Common Multiple of 464,631 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 464,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(464,631) x common factors =1 x 1 = 1
LCM(464,631) = ( 464 × 631 ) / 1
LCM(464,631) = 292784 / 1
LCM(464,631) = 292784
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FAQs on GCF of Fractions of 3230/464, 3990/631
1. What is the HCF of 3230,3990?
The HCF of 3230,3990 is 190
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 3230/464, 3990/631?
Answer: GCF of Numerators as per given numbers 3230/464, 3990/631 is
GCF of Numerators i.e. for 3230,3990 is 190
LCM of denominators i.e. for 464,631 is 292784.
Thus, GCF of Fractions is 190/292784.Finally, GCF of Fractions for 3230/464, 3990/631 is 190/292784.