GCF of 317/160, 1443/3234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 317/160, 1443/3234 i.e 1/258720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 317/160, 1443/3234.
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 317/160,1443/3234?
Given fractions are 317/160,1443/3234
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 317/160,1443/3234, numerators are 317,1443
Denominators are 160,3234
The GCF of 317,1443 is 1 .
LCM of 160,3234 is 258720.
The greatest common factor of 317/160,1443/3234 = [GCF of 317,1443]/[LCM of 160,3234]= 1/258720
Therefore, the GCF of 317/160,1443/3234 is 1/258720.
To find the highest common factor of 317,1443, we have to find the factors of both numbers and list the highest common factor.
The factors of 317 are 1, 317
The factors of 1443 are 1, 3, 13, 37, 39, 111, 481, 1443
The HCF of 317,1443 is 1.
Lets's calculate GCF of 317,1443
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 317,1443 By Matching Biggest Common Factor Method
Now, list down the factors of 317
:1,317
Now, list down the factors of 1443
:1,3,13,37,39,111,481,1443
Greatest Common Factor
We found the factors 317,1443 . The biggest common factor number is the GCF number.
So the greatest common factor 317,1443 is 1.
Lets's calculate LCM of 160,3234
| 2 | 160, 3234 |
| 80, 1617 |
∴ So the LCM of the given numbers is 2 x 80 x 1617 = 258720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258720
Therefore, the GCF of Fractions 317/160,1443/3234 is 1/258720
Least Common Multiple of 160,3234 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 160,3234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,3234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(160,3234) x common factors =2 x 1 = 2
LCM(160,3234) = ( 160 × 3234 ) / 2
LCM(160,3234) = 517440 / 2
LCM(160,3234) = 258720
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 317/160, 1443/3234
1. What is the HCF of 317,1443?
The HCF of 317,1443 is 1
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 317/160, 1443/3234?
Answer: GCF of Numerators as per given numbers 317/160, 1443/3234 is
GCF of Numerators i.e. for 317,1443 is 1
LCM of denominators i.e. for 160,3234 is 258720.
Thus, GCF of Fractions is 1/258720.Finally, GCF of Fractions for 317/160, 1443/3234 is 1/258720.