GCF of 366/372, 889/494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 366/372, 889/494 i.e 1/91884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 366/372, 889/494.
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 366/372,889/494?
Given fractions are 366/372,889/494
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 366/372,889/494, numerators are 366,889
Denominators are 372,494
The GCF of 366,889 is 1 .
LCM of 372,494 is 91884.
The greatest common factor of 366/372,889/494 = [GCF of 366,889]/[LCM of 372,494]= 1/91884
Therefore, the GCF of 366/372,889/494 is 1/91884.
To find the highest common factor of 366,889, 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 889 are 1, 7, 127, 889
The HCF of 366,889 is 1.
Lets's calculate GCF of 366,889
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 366,889 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 889
:1,7,127,889
Greatest Common Factor
We found the factors 366,889 . The biggest common factor number is the GCF number.
So the greatest common factor 366,889 is 1.
Lets's calculate LCM of 372,494
| 2 | 372, 494 |
| 186, 247 |
∴ So the LCM of the given numbers is 2 x 186 x 247 = 91884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91884
Therefore, the GCF of Fractions 366/372,889/494 is 1/91884
Least Common Multiple of 372,494 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 372,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(372,494) x common factors =2 x 1 = 2
LCM(372,494) = ( 372 × 494 ) / 2
LCM(372,494) = 183768 / 2
LCM(372,494) = 91884
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FAQs on GCF of Fractions of 366/372, 889/494
1. What is the HCF of 366,889?
The HCF of 366,889 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 366/372, 889/494?
Answer: GCF of Numerators as per given numbers 366/372, 889/494 is
GCF of Numerators i.e. for 366,889 is 1
LCM of denominators i.e. for 372,494 is 91884.
Thus, GCF of Fractions is 1/91884.Finally, GCF of Fractions for 366/372, 889/494 is 1/91884.