GCF of 290/414, 215/801
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 290/414, 215/801 i.e 5/36846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/414, 215/801.
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 290/414,215/801?
Given fractions are 290/414,215/801
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 290/414,215/801, numerators are 290,215
Denominators are 414,801
The GCF of 290,215 is 5 .
LCM of 414,801 is 36846.
The greatest common factor of 290/414,215/801 = [GCF of 290,215]/[LCM of 414,801]= 5/36846
Therefore, the GCF of 290/414,215/801 is 5/36846.
To find the highest common factor of 290,215, we have to find the factors of both numbers and list the highest common factor.
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 215 are 1, 5, 43, 215
The HCF of 290,215 is 5.
Lets's calculate GCF of 290,215
| 5 | 290, 215 |
| 58, 43 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 290,215 By Matching Biggest Common Factor Method
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 215
:1,5,43,215
Greatest Common Factor
We found the factors 290,215 . The biggest common factor number is the GCF number.
So the greatest common factor 290,215 is 5.
Lets's calculate LCM of 414,801
| 3 | 414, 801 |
| 3 | 138, 267 |
| 46, 89 |
∴ So the LCM of the given numbers is 3 x 3 x 46 x 89 = 36846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/36846
Therefore, the GCF of Fractions 290/414,215/801 is 5/36846
Least Common Multiple of 414,801 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 414,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,801) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(414,801) x common factors =9 x 1 = 9
LCM(414,801) = ( 414 × 801 ) / 9
LCM(414,801) = 331614 / 9
LCM(414,801) = 36846
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 290/414, 215/801
1. What is the HCF of 290,215?
The HCF of 290,215 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 290/414, 215/801?
Answer: GCF of Numerators as per given numbers 290/414, 215/801 is
GCF of Numerators i.e. for 290,215 is 5
LCM of denominators i.e. for 414,801 is 36846.
Thus, GCF of Fractions is 5/36846.Finally, GCF of Fractions for 290/414, 215/801 is 5/36846.