GCF of 366/594, 417/622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 366/594, 417/622 i.e 3/184734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 366/594, 417/622.
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 366/594,417/622?
Given fractions are 366/594,417/622
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 366/594,417/622, numerators are 366,417
Denominators are 594,622
The GCF of 366,417 is 3 .
LCM of 594,622 is 184734.
The greatest common factor of 366/594,417/622 = [GCF of 366,417]/[LCM of 594,622]= 3/184734
Therefore, the GCF of 366/594,417/622 is 3/184734.
To find the highest common factor of 366,417, we have to find the factors of both numbers and list the highest common factor.
The factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366
The factors of 417 are 1, 3, 139, 417
The HCF of 366,417 is 3.
Lets's calculate GCF of 366,417
| 3 | 366, 417 |
| 122, 139 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 366,417 By Matching Biggest Common Factor Method
Now, list down the factors of 366
:1,2,3,6,61,122,183,366
Now, list down the factors of 417
:1,3,139,417
Greatest Common Factor
We found the factors 366,417 . The biggest common factor number is the GCF number.
So the greatest common factor 366,417 is 3.
Lets's calculate LCM of 594,622
| 2 | 594, 622 |
| 297, 311 |
∴ So the LCM of the given numbers is 2 x 297 x 311 = 184734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/184734
Therefore, the GCF of Fractions 366/594,417/622 is 3/184734
Least Common Multiple of 594,622 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 594,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(594,622) x common factors =2 x 1 = 2
LCM(594,622) = ( 594 × 622 ) / 2
LCM(594,622) = 369468 / 2
LCM(594,622) = 184734
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FAQs on GCF of Fractions of 366/594, 417/622
1. What is the HCF of 366,417?
The HCF of 366,417 is 3
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 366/594, 417/622?
Answer: GCF of Numerators as per given numbers 366/594, 417/622 is
GCF of Numerators i.e. for 366,417 is 3
LCM of denominators i.e. for 594,622 is 184734.
Thus, GCF of Fractions is 3/184734.Finally, GCF of Fractions for 366/594, 417/622 is 3/184734.