GCF of 9966/214, 3912/317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9966/214, 3912/317 i.e 6/67838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9966/214, 3912/317.
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 9966/214,3912/317?
Given fractions are 9966/214,3912/317
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 9966/214,3912/317, numerators are 9966,3912
Denominators are 214,317
The GCF of 9966,3912 is 6 .
LCM of 214,317 is 67838.
The greatest common factor of 9966/214,3912/317 = [GCF of 9966,3912]/[LCM of 214,317]= 6/67838
Therefore, the GCF of 9966/214,3912/317 is 6/67838.
To find the highest common factor of 9966,3912, we have to find the factors of both numbers and list the highest common factor.
The factors of 9966 are 1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966
The factors of 3912 are 1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956, 3912
The HCF of 9966,3912 is 6.
Lets's calculate GCF of 9966,3912
| 2 | 9966, 3912 |
| 3 | 4983, 1956 |
| 1661, 652 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9966,3912 By Matching Biggest Common Factor Method
Now, list down the factors of 9966
:1,2,3,6,11,22,33,66,151,302,453,906,1661,3322,4983,9966
Now, list down the factors of 3912
:1,2,3,4,6,8,12,24,163,326,489,652,978,1304,1956,3912
Greatest Common Factor
We found the factors 9966,3912 . The biggest common factor number is the GCF number.
So the greatest common factor 9966,3912 is 6.
Lets's calculate LCM of 214,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 67838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/67838
Therefore, the GCF of Fractions 9966/214,3912/317 is 6/67838
Least Common Multiple of 214,317 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 214,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,317) x common factors =1 x 1 = 1
LCM(214,317) = ( 214 × 317 ) / 1
LCM(214,317) = 67838 / 1
LCM(214,317) = 67838
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FAQs on GCF of Fractions of 9966/214, 3912/317
1. What is the HCF of 9966,3912?
The HCF of 9966,3912 is 6
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 9966/214, 3912/317?
Answer: GCF of Numerators as per given numbers 9966/214, 3912/317 is
GCF of Numerators i.e. for 9966,3912 is 6
LCM of denominators i.e. for 214,317 is 67838.
Thus, GCF of Fractions is 6/67838.Finally, GCF of Fractions for 9966/214, 3912/317 is 6/67838.