GCF of 9934/211, 3924/2798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9934/211, 3924/2798 i.e 2/590378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9934/211, 3924/2798.
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 9934/211,3924/2798?
Given fractions are 9934/211,3924/2798
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 9934/211,3924/2798, numerators are 9934,3924
Denominators are 211,2798
The GCF of 9934,3924 is 2 .
LCM of 211,2798 is 590378.
The greatest common factor of 9934/211,3924/2798 = [GCF of 9934,3924]/[LCM of 211,2798]= 2/590378
Therefore, the GCF of 9934/211,3924/2798 is 2/590378.
To find the highest common factor of 9934,3924, 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 3924 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962, 3924
The HCF of 9934,3924 is 2.
Lets's calculate GCF of 9934,3924
| 2 | 9934, 3924 |
| 4967, 1962 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9934,3924 By Matching Biggest Common Factor Method
Now, list down the factors of 9934
:1,2,4967,9934
Now, list down the factors of 3924
:1,2,3,4,6,9,12,18,36,109,218,327,436,654,981,1308,1962,3924
Greatest Common Factor
We found the factors 9934,3924 . The biggest common factor number is the GCF number.
So the greatest common factor 9934,3924 is 2.
Lets's calculate LCM of 211,2798
Given numbers has no common factors except 1. So, there LCM is their product i.e 590378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/590378
Therefore, the GCF of Fractions 9934/211,3924/2798 is 2/590378
Least Common Multiple of 211,2798 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 211,2798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,2798) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,2798) x common factors =1 x 1 = 1
LCM(211,2798) = ( 211 × 2798 ) / 1
LCM(211,2798) = 590378 / 1
LCM(211,2798) = 590378
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FAQs on GCF of Fractions of 9934/211, 3924/2798
1. What is the HCF of 9934,3924?
The HCF of 9934,3924 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 9934/211, 3924/2798?
Answer: GCF of Numerators as per given numbers 9934/211, 3924/2798 is
GCF of Numerators i.e. for 9934,3924 is 2
LCM of denominators i.e. for 211,2798 is 590378.
Thus, GCF of Fractions is 2/590378.Finally, GCF of Fractions for 9934/211, 3924/2798 is 2/590378.