GCF of 2087/159, 1620/3045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2087/159, 1620/3045 i.e 1/161385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2087/159, 1620/3045.
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 2087/159,1620/3045?
Given fractions are 2087/159,1620/3045
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 2087/159,1620/3045, numerators are 2087,1620
Denominators are 159,3045
The GCF of 2087,1620 is 1 .
LCM of 159,3045 is 161385.
The greatest common factor of 2087/159,1620/3045 = [GCF of 2087,1620]/[LCM of 159,3045]= 1/161385
Therefore, the GCF of 2087/159,1620/3045 is 1/161385.
To find the highest common factor of 2087,1620, we have to find the factors of both numbers and list the highest common factor.
The factors of 2087 are 1, 2087
The factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620
The HCF of 2087,1620 is 1.
Lets's calculate GCF of 2087,1620
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2087,1620 By Matching Biggest Common Factor Method
Now, list down the factors of 2087
:1,2087
Now, list down the factors of 1620
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,270,324,405,540,810,1620
Greatest Common Factor
We found the factors 2087,1620 . The biggest common factor number is the GCF number.
So the greatest common factor 2087,1620 is 1.
Lets's calculate LCM of 159,3045
| 3 | 159, 3045 |
| 53, 1015 |
∴ So the LCM of the given numbers is 3 x 53 x 1015 = 161385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161385
Therefore, the GCF of Fractions 2087/159,1620/3045 is 1/161385
Least Common Multiple of 159,3045 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 159,3045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,3045) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,3045) x common factors =3 x 1 = 3
LCM(159,3045) = ( 159 × 3045 ) / 3
LCM(159,3045) = 484155 / 3
LCM(159,3045) = 161385
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FAQs on GCF of Fractions of 2087/159, 1620/3045
1. What is the HCF of 2087,1620?
The HCF of 2087,1620 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 2087/159, 1620/3045?
Answer: GCF of Numerators as per given numbers 2087/159, 1620/3045 is
GCF of Numerators i.e. for 2087,1620 is 1
LCM of denominators i.e. for 159,3045 is 161385.
Thus, GCF of Fractions is 1/161385.Finally, GCF of Fractions for 2087/159, 1620/3045 is 1/161385.