GCF of 9946/684, 3783/8566
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9946/684, 3783/8566 i.e 1/2929572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9946/684, 3783/8566.
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 9946/684,3783/8566?
Given fractions are 9946/684,3783/8566
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 9946/684,3783/8566, numerators are 9946,3783
Denominators are 684,8566
The GCF of 9946,3783 is 1 .
LCM of 684,8566 is 2929572.
The greatest common factor of 9946/684,3783/8566 = [GCF of 9946,3783]/[LCM of 684,8566]= 1/2929572
Therefore, the GCF of 9946/684,3783/8566 is 1/2929572.
To find the highest common factor of 9946,3783, we have to find the factors of both numbers and list the highest common factor.
The factors of 9946 are 1, 2, 4973, 9946
The factors of 3783 are 1, 3, 13, 39, 97, 291, 1261, 3783
The HCF of 9946,3783 is 1.
Lets's calculate GCF of 9946,3783
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9946,3783 By Matching Biggest Common Factor Method
Now, list down the factors of 9946
:1,2,4973,9946
Now, list down the factors of 3783
:1,3,13,39,97,291,1261,3783
Greatest Common Factor
We found the factors 9946,3783 . The biggest common factor number is the GCF number.
So the greatest common factor 9946,3783 is 1.
Lets's calculate LCM of 684,8566
| 2 | 684, 8566 |
| 342, 4283 |
∴ So the LCM of the given numbers is 2 x 342 x 4283 = 2929572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2929572
Therefore, the GCF of Fractions 9946/684,3783/8566 is 1/2929572
Least Common Multiple of 684,8566 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 684,8566 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,8566) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(684,8566) x common factors =2 x 1 = 2
LCM(684,8566) = ( 684 × 8566 ) / 2
LCM(684,8566) = 5859144 / 2
LCM(684,8566) = 2929572
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FAQs on GCF of Fractions of 9946/684, 3783/8566
1. What is the HCF of 9946,3783?
The HCF of 9946,3783 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 9946/684, 3783/8566?
Answer: GCF of Numerators as per given numbers 9946/684, 3783/8566 is
GCF of Numerators i.e. for 9946,3783 is 1
LCM of denominators i.e. for 684,8566 is 2929572.
Thus, GCF of Fractions is 1/2929572.Finally, GCF of Fractions for 9946/684, 3783/8566 is 1/2929572.