GCF of 366/89, 170/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 366/89, 170/414 i.e 2/36846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 366/89, 170/414.
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 366/89,170/414?
Given fractions are 366/89,170/414
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 366/89,170/414, numerators are 366,170
Denominators are 89,414
The GCF of 366,170 is 2 .
LCM of 89,414 is 36846.
The greatest common factor of 366/89,170/414 = [GCF of 366,170]/[LCM of 89,414]= 2/36846
Therefore, the GCF of 366/89,170/414 is 2/36846.
To find the highest common factor of 366,170, 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 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 366,170 is 2.
Lets's calculate GCF of 366,170
| 2 | 366, 170 |
| 183, 85 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 366,170 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 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 366,170 . The biggest common factor number is the GCF number.
So the greatest common factor 366,170 is 2.
Lets's calculate LCM of 89,414
Given numbers has no common factors except 1. So, there LCM is their product i.e 36846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36846
Therefore, the GCF of Fractions 366/89,170/414 is 2/36846
Least Common Multiple of 89,414 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 89,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,414) x common factors =1 x 1 = 1
LCM(89,414) = ( 89 × 414 ) / 1
LCM(89,414) = 36846 / 1
LCM(89,414) = 36846
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FAQs on GCF of Fractions of 366/89, 170/414
1. What is the HCF of 366,170?
The HCF of 366,170 is 2
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 366/89, 170/414?
Answer: GCF of Numerators as per given numbers 366/89, 170/414 is
GCF of Numerators i.e. for 366,170 is 2
LCM of denominators i.e. for 89,414 is 36846.
Thus, GCF of Fractions is 2/36846.Finally, GCF of Fractions for 366/89, 170/414 is 2/36846.