GCF of 9934/838, 8774/3876
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9934/838, 8774/3876 i.e 2/1624044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9934/838, 8774/3876.
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 9934/838,8774/3876?
Given fractions are 9934/838,8774/3876
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 9934/838,8774/3876, numerators are 9934,8774
Denominators are 838,3876
The GCF of 9934,8774 is 2 .
LCM of 838,3876 is 1624044.
The greatest common factor of 9934/838,8774/3876 = [GCF of 9934,8774]/[LCM of 838,3876]= 2/1624044
Therefore, the GCF of 9934/838,8774/3876 is 2/1624044.
To find the highest common factor of 9934,8774, we have to find the factors of both numbers and list the highest common factor.
The factors of 9934 are 1, 2, 4967, 9934
The factors of 8774 are 1, 2, 41, 82, 107, 214, 4387, 8774
The HCF of 9934,8774 is 2.
Lets's calculate GCF of 9934,8774
| 2 | 9934, 8774 |
| 4967, 4387 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9934,8774 By Matching Biggest Common Factor Method
Now, list down the factors of 9934
:1,2,4967,9934
Now, list down the factors of 8774
:1,2,41,82,107,214,4387,8774
Greatest Common Factor
We found the factors 9934,8774 . The biggest common factor number is the GCF number.
So the greatest common factor 9934,8774 is 2.
Lets's calculate LCM of 838,3876
| 2 | 838, 3876 |
| 419, 1938 |
∴ So the LCM of the given numbers is 2 x 419 x 1938 = 1624044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1624044
Therefore, the GCF of Fractions 9934/838,8774/3876 is 2/1624044
Least Common Multiple of 838,3876 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 838,3876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,3876) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,3876) x common factors =2 x 1 = 2
LCM(838,3876) = ( 838 × 3876 ) / 2
LCM(838,3876) = 3248088 / 2
LCM(838,3876) = 1624044
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FAQs on GCF of Fractions of 9934/838, 8774/3876
1. What is the HCF of 9934,8774?
The HCF of 9934,8774 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 9934/838, 8774/3876?
Answer: GCF of Numerators as per given numbers 9934/838, 8774/3876 is
GCF of Numerators i.e. for 9934,8774 is 2
LCM of denominators i.e. for 838,3876 is 1624044.
Thus, GCF of Fractions is 2/1624044.Finally, GCF of Fractions for 9934/838, 8774/3876 is 2/1624044.