GCF of 446/17, 844/9885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 446/17, 844/9885 i.e 2/168045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 446/17, 844/9885.
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 446/17,844/9885?
Given fractions are 446/17,844/9885
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 446/17,844/9885, numerators are 446,844
Denominators are 17,9885
The GCF of 446,844 is 2 .
LCM of 17,9885 is 168045.
The greatest common factor of 446/17,844/9885 = [GCF of 446,844]/[LCM of 17,9885]= 2/168045
Therefore, the GCF of 446/17,844/9885 is 2/168045.
To find the highest common factor of 446,844, we have to find the factors of both numbers and list the highest common factor.
The factors of 446 are 1, 2, 223, 446
The factors of 844 are 1, 2, 4, 211, 422, 844
The HCF of 446,844 is 2.
Lets's calculate GCF of 446,844
| 2 | 446, 844 |
| 223, 422 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 446,844 By Matching Biggest Common Factor Method
Now, list down the factors of 446
:1,2,223,446
Now, list down the factors of 844
:1,2,4,211,422,844
Greatest Common Factor
We found the factors 446,844 . The biggest common factor number is the GCF number.
So the greatest common factor 446,844 is 2.
Lets's calculate LCM of 17,9885
Given numbers has no common factors except 1. So, there LCM is their product i.e 168045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/168045
Therefore, the GCF of Fractions 446/17,844/9885 is 2/168045
Least Common Multiple of 17,9885 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 17,9885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,9885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,9885) x common factors =1 x 1 = 1
LCM(17,9885) = ( 17 × 9885 ) / 1
LCM(17,9885) = 168045 / 1
LCM(17,9885) = 168045
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FAQs on GCF of Fractions of 446/17, 844/9885
1. What is the HCF of 446,844?
The HCF of 446,844 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 446/17, 844/9885?
Answer: GCF of Numerators as per given numbers 446/17, 844/9885 is
GCF of Numerators i.e. for 446,844 is 2
LCM of denominators i.e. for 17,9885 is 168045.
Thus, GCF of Fractions is 2/168045.Finally, GCF of Fractions for 446/17, 844/9885 is 2/168045.