GCF of 3993/790, 9834/1594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3993/790, 9834/1594 i.e 33/629630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3993/790, 9834/1594.
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 3993/790,9834/1594?
Given fractions are 3993/790,9834/1594
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 3993/790,9834/1594, numerators are 3993,9834
Denominators are 790,1594
The GCF of 3993,9834 is 33 .
LCM of 790,1594 is 629630.
The greatest common factor of 3993/790,9834/1594 = [GCF of 3993,9834]/[LCM of 790,1594]= 33/629630
Therefore, the GCF of 3993/790,9834/1594 is 33/629630.
To find the highest common factor of 3993,9834, we have to find the factors of both numbers and list the highest common factor.
The factors of 3993 are 1, 3, 11, 33, 121, 363, 1331, 3993
The factors of 9834 are 1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917, 9834
The HCF of 3993,9834 is 33.
Lets's calculate GCF of 3993,9834
| 3 | 3993, 9834 |
| 11 | 1331, 3278 |
| 121, 298 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 3993,9834 By Matching Biggest Common Factor Method
Now, list down the factors of 3993
:1,3,11,33,121,363,1331,3993
Now, list down the factors of 9834
:1,2,3,6,11,22,33,66,149,298,447,894,1639,3278,4917,9834
Greatest Common Factor
We found the factors 3993,9834 . The biggest common factor number is the GCF number.
So the greatest common factor 3993,9834 is 33.
Lets's calculate LCM of 790,1594
| 2 | 790, 1594 |
| 395, 797 |
∴ So the LCM of the given numbers is 2 x 395 x 797 = 629630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/629630
Therefore, the GCF of Fractions 3993/790,9834/1594 is 33/629630
Least Common Multiple of 790,1594 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 790,1594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,1594) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(790,1594) x common factors =2 x 1 = 2
LCM(790,1594) = ( 790 × 1594 ) / 2
LCM(790,1594) = 1259260 / 2
LCM(790,1594) = 629630
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FAQs on GCF of Fractions of 3993/790, 9834/1594
1. What is the HCF of 3993,9834?
The HCF of 3993,9834 is 33
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 3993/790, 9834/1594?
Answer: GCF of Numerators as per given numbers 3993/790, 9834/1594 is
GCF of Numerators i.e. for 3993,9834 is 33
LCM of denominators i.e. for 790,1594 is 629630.
Thus, GCF of Fractions is 33/629630.Finally, GCF of Fractions for 3993/790, 9834/1594 is 33/629630.