GCF of 9746/622, 5336/3909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9746/622, 5336/3909 i.e 2/2431398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9746/622, 5336/3909.
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 9746/622,5336/3909?
Given fractions are 9746/622,5336/3909
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 9746/622,5336/3909, numerators are 9746,5336
Denominators are 622,3909
The GCF of 9746,5336 is 2 .
LCM of 622,3909 is 2431398.
The greatest common factor of 9746/622,5336/3909 = [GCF of 9746,5336]/[LCM of 622,3909]= 2/2431398
Therefore, the GCF of 9746/622,5336/3909 is 2/2431398.
To find the highest common factor of 9746,5336, we have to find the factors of both numbers and list the highest common factor.
The factors of 9746 are 1, 2, 11, 22, 443, 886, 4873, 9746
The factors of 5336 are 1, 2, 4, 8, 23, 29, 46, 58, 92, 116, 184, 232, 667, 1334, 2668, 5336
The HCF of 9746,5336 is 2.
Lets's calculate GCF of 9746,5336
| 2 | 9746, 5336 |
| 4873, 2668 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9746,5336 By Matching Biggest Common Factor Method
Now, list down the factors of 9746
:1,2,11,22,443,886,4873,9746
Now, list down the factors of 5336
:1,2,4,8,23,29,46,58,92,116,184,232,667,1334,2668,5336
Greatest Common Factor
We found the factors 9746,5336 . The biggest common factor number is the GCF number.
So the greatest common factor 9746,5336 is 2.
Lets's calculate LCM of 622,3909
Given numbers has no common factors except 1. So, there LCM is their product i.e 2431398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2431398
Therefore, the GCF of Fractions 9746/622,5336/3909 is 2/2431398
Least Common Multiple of 622,3909 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 622,3909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,3909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(622,3909) x common factors =1 x 1 = 1
LCM(622,3909) = ( 622 × 3909 ) / 1
LCM(622,3909) = 2431398 / 1
LCM(622,3909) = 2431398
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FAQs on GCF of Fractions of 9746/622, 5336/3909
1. What is the HCF of 9746,5336?
The HCF of 9746,5336 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 9746/622, 5336/3909?
Answer: GCF of Numerators as per given numbers 9746/622, 5336/3909 is
GCF of Numerators i.e. for 9746,5336 is 2
LCM of denominators i.e. for 622,3909 is 2431398.
Thus, GCF of Fractions is 2/2431398.Finally, GCF of Fractions for 9746/622, 5336/3909 is 2/2431398.