GCF of 481/588, 8970/312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 481/588, 8970/312 i.e 13/15288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 481/588, 8970/312.
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 481/588,8970/312?
Given fractions are 481/588,8970/312
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 481/588,8970/312, numerators are 481,8970
Denominators are 588,312
The GCF of 481,8970 is 13 .
LCM of 588,312 is 15288.
The greatest common factor of 481/588,8970/312 = [GCF of 481,8970]/[LCM of 588,312]= 13/15288
Therefore, the GCF of 481/588,8970/312 is 13/15288.
To find the highest common factor of 481,8970, we have to find the factors of both numbers and list the highest common factor.
The factors of 481 are 1, 13, 37, 481
The factors of 8970 are 1, 2, 3, 5, 6, 10, 13, 15, 23, 26, 30, 39, 46, 65, 69, 78, 115, 130, 138, 195, 230, 299, 345, 390, 598, 690, 897, 1495, 1794, 2990, 4485, 8970
The HCF of 481,8970 is 13.
Lets's calculate GCF of 481,8970
| 13 | 481, 8970 |
| 37, 690 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 481,8970 By Matching Biggest Common Factor Method
Now, list down the factors of 481
:1,13,37,481
Now, list down the factors of 8970
:1,2,3,5,6,10,13,15,23,26,30,39,46,65,69,78,115,130,138,195,230,299,345,390,598,690,897,1495,1794,2990,4485,8970
Greatest Common Factor
We found the factors 481,8970 . The biggest common factor number is the GCF number.
So the greatest common factor 481,8970 is 13.
Lets's calculate LCM of 588,312
| 2 | 588, 312 |
| 2 | 294, 156 |
| 3 | 147, 78 |
| 49, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 49 x 26 = 15288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/15288
Therefore, the GCF of Fractions 481/588,8970/312 is 13/15288
Least Common Multiple of 588,312 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 588,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,312) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(588,312) x common factors =12 x 1 = 12
LCM(588,312) = ( 588 × 312 ) / 12
LCM(588,312) = 183456 / 12
LCM(588,312) = 15288
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 481/588, 8970/312
1. What is the HCF of 481,8970?
The HCF of 481,8970 is 13
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 481/588, 8970/312?
Answer: GCF of Numerators as per given numbers 481/588, 8970/312 is
GCF of Numerators i.e. for 481,8970 is 13
LCM of denominators i.e. for 588,312 is 15288.
Thus, GCF of Fractions is 13/15288.Finally, GCF of Fractions for 481/588, 8970/312 is 13/15288.