GCF of 9966/642, 8084/1456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9966/642, 8084/1456 i.e 2/467376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9966/642, 8084/1456.
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 9966/642,8084/1456?
Given fractions are 9966/642,8084/1456
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 9966/642,8084/1456, numerators are 9966,8084
Denominators are 642,1456
The GCF of 9966,8084 is 2 .
LCM of 642,1456 is 467376.
The greatest common factor of 9966/642,8084/1456 = [GCF of 9966,8084]/[LCM of 642,1456]= 2/467376
Therefore, the GCF of 9966/642,8084/1456 is 2/467376.
To find the highest common factor of 9966,8084, 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 8084 are 1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084
The HCF of 9966,8084 is 2.
Lets's calculate GCF of 9966,8084
| 2 | 9966, 8084 |
| 4983, 4042 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9966,8084 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 8084
:1,2,4,43,47,86,94,172,188,2021,4042,8084
Greatest Common Factor
We found the factors 9966,8084 . The biggest common factor number is the GCF number.
So the greatest common factor 9966,8084 is 2.
Lets's calculate LCM of 642,1456
| 2 | 642, 1456 |
| 321, 728 |
∴ So the LCM of the given numbers is 2 x 321 x 728 = 467376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/467376
Therefore, the GCF of Fractions 9966/642,8084/1456 is 2/467376
Least Common Multiple of 642,1456 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 642,1456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,1456) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,1456) x common factors =2 x 1 = 2
LCM(642,1456) = ( 642 × 1456 ) / 2
LCM(642,1456) = 934752 / 2
LCM(642,1456) = 467376
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FAQs on GCF of Fractions of 9966/642, 8084/1456
1. What is the HCF of 9966,8084?
The HCF of 9966,8084 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 9966/642, 8084/1456?
Answer: GCF of Numerators as per given numbers 9966/642, 8084/1456 is
GCF of Numerators i.e. for 9966,8084 is 2
LCM of denominators i.e. for 642,1456 is 467376.
Thus, GCF of Fractions is 2/467376.Finally, GCF of Fractions for 9966/642, 8084/1456 is 2/467376.