GCF of 9386/404, 6026/761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9386/404, 6026/761 i.e 2/307444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9386/404, 6026/761.
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 9386/404,6026/761?
Given fractions are 9386/404,6026/761
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 9386/404,6026/761, numerators are 9386,6026
Denominators are 404,761
The GCF of 9386,6026 is 2 .
LCM of 404,761 is 307444.
The greatest common factor of 9386/404,6026/761 = [GCF of 9386,6026]/[LCM of 404,761]= 2/307444
Therefore, the GCF of 9386/404,6026/761 is 2/307444.
To find the highest common factor of 9386,6026, we have to find the factors of both numbers and list the highest common factor.
The factors of 9386 are 1, 2, 13, 19, 26, 38, 247, 361, 494, 722, 4693, 9386
The factors of 6026 are 1, 2, 23, 46, 131, 262, 3013, 6026
The HCF of 9386,6026 is 2.
Lets's calculate GCF of 9386,6026
| 2 | 9386, 6026 |
| 4693, 3013 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9386,6026 By Matching Biggest Common Factor Method
Now, list down the factors of 9386
:1,2,13,19,26,38,247,361,494,722,4693,9386
Now, list down the factors of 6026
:1,2,23,46,131,262,3013,6026
Greatest Common Factor
We found the factors 9386,6026 . The biggest common factor number is the GCF number.
So the greatest common factor 9386,6026 is 2.
Lets's calculate LCM of 404,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 307444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/307444
Therefore, the GCF of Fractions 9386/404,6026/761 is 2/307444
Least Common Multiple of 404,761 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 404,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,761) x common factors =1 x 1 = 1
LCM(404,761) = ( 404 × 761 ) / 1
LCM(404,761) = 307444 / 1
LCM(404,761) = 307444
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FAQs on GCF of Fractions of 9386/404, 6026/761
1. What is the HCF of 9386,6026?
The HCF of 9386,6026 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 9386/404, 6026/761?
Answer: GCF of Numerators as per given numbers 9386/404, 6026/761 is
GCF of Numerators i.e. for 9386,6026 is 2
LCM of denominators i.e. for 404,761 is 307444.
Thus, GCF of Fractions is 2/307444.Finally, GCF of Fractions for 9386/404, 6026/761 is 2/307444.