GCF of 1615/211, 1810/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1615/211, 1810/286 i.e 5/60346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1615/211, 1810/286.
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 1615/211,1810/286?
Given fractions are 1615/211,1810/286
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 1615/211,1810/286, numerators are 1615,1810
Denominators are 211,286
The GCF of 1615,1810 is 5 .
LCM of 211,286 is 60346.
The greatest common factor of 1615/211,1810/286 = [GCF of 1615,1810]/[LCM of 211,286]= 5/60346
Therefore, the GCF of 1615/211,1810/286 is 5/60346.
To find the highest common factor of 1615,1810, we have to find the factors of both numbers and list the highest common factor.
The factors of 1615 are 1, 5, 17, 19, 85, 95, 323, 1615
The factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810
The HCF of 1615,1810 is 5.
Lets's calculate GCF of 1615,1810
| 5 | 1615, 1810 |
| 323, 362 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1615,1810 By Matching Biggest Common Factor Method
Now, list down the factors of 1615
:1,5,17,19,85,95,323,1615
Now, list down the factors of 1810
:1,2,5,10,181,362,905,1810
Greatest Common Factor
We found the factors 1615,1810 . The biggest common factor number is the GCF number.
So the greatest common factor 1615,1810 is 5.
Lets's calculate LCM of 211,286
Given numbers has no common factors except 1. So, there LCM is their product i.e 60346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/60346
Therefore, the GCF of Fractions 1615/211,1810/286 is 5/60346
Least Common Multiple of 211,286 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 211,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,286) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,286) x common factors =1 x 1 = 1
LCM(211,286) = ( 211 × 286 ) / 1
LCM(211,286) = 60346 / 1
LCM(211,286) = 60346
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1615/211, 1810/286
1. What is the HCF of 1615,1810?
The HCF of 1615,1810 is 5
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 1615/211, 1810/286?
Answer: GCF of Numerators as per given numbers 1615/211, 1810/286 is
GCF of Numerators i.e. for 1615,1810 is 5
LCM of denominators i.e. for 211,286 is 60346.
Thus, GCF of Fractions is 5/60346.Finally, GCF of Fractions for 1615/211, 1810/286 is 5/60346.