GCF of 9986/364, 1708/3166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9986/364, 1708/3166 i.e 2/576212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9986/364, 1708/3166.
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 9986/364,1708/3166?
Given fractions are 9986/364,1708/3166
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 9986/364,1708/3166, numerators are 9986,1708
Denominators are 364,3166
The GCF of 9986,1708 is 2 .
LCM of 364,3166 is 576212.
The greatest common factor of 9986/364,1708/3166 = [GCF of 9986,1708]/[LCM of 364,3166]= 2/576212
Therefore, the GCF of 9986/364,1708/3166 is 2/576212.
To find the highest common factor of 9986,1708, we have to find the factors of both numbers and list the highest common factor.
The factors of 9986 are 1, 2, 4993, 9986
The factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708
The HCF of 9986,1708 is 2.
Lets's calculate GCF of 9986,1708
| 2 | 9986, 1708 |
| 4993, 854 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9986,1708 By Matching Biggest Common Factor Method
Now, list down the factors of 9986
:1,2,4993,9986
Now, list down the factors of 1708
:1,2,4,7,14,28,61,122,244,427,854,1708
Greatest Common Factor
We found the factors 9986,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 9986,1708 is 2.
Lets's calculate LCM of 364,3166
| 2 | 364, 3166 |
| 182, 1583 |
∴ So the LCM of the given numbers is 2 x 182 x 1583 = 576212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/576212
Therefore, the GCF of Fractions 9986/364,1708/3166 is 2/576212
Least Common Multiple of 364,3166 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 364,3166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,3166) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(364,3166) x common factors =2 x 1 = 2
LCM(364,3166) = ( 364 × 3166 ) / 2
LCM(364,3166) = 1152424 / 2
LCM(364,3166) = 576212
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FAQs on GCF of Fractions of 9986/364, 1708/3166
1. What is the HCF of 9986,1708?
The HCF of 9986,1708 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 9986/364, 1708/3166?
Answer: GCF of Numerators as per given numbers 9986/364, 1708/3166 is
GCF of Numerators i.e. for 9986,1708 is 2
LCM of denominators i.e. for 364,3166 is 576212.
Thus, GCF of Fractions is 2/576212.Finally, GCF of Fractions for 9986/364, 1708/3166 is 2/576212.