GCF of 5959/505, 9423/606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5959/505, 9423/606 i.e 1/3030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5959/505, 9423/606.
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 5959/505,9423/606?
Given fractions are 5959/505,9423/606
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 5959/505,9423/606, numerators are 5959,9423
Denominators are 505,606
The GCF of 5959,9423 is 1 .
LCM of 505,606 is 3030.
The greatest common factor of 5959/505,9423/606 = [GCF of 5959,9423]/[LCM of 505,606]= 1/3030
Therefore, the GCF of 5959/505,9423/606 is 1/3030.
To find the highest common factor of 5959,9423, we have to find the factors of both numbers and list the highest common factor.
The factors of 5959 are 1, 59, 101, 5959
The factors of 9423 are 1, 3, 9, 27, 349, 1047, 3141, 9423
The HCF of 5959,9423 is 1.
Lets's calculate GCF of 5959,9423
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5959,9423 By Matching Biggest Common Factor Method
Now, list down the factors of 5959
:1,59,101,5959
Now, list down the factors of 9423
:1,3,9,27,349,1047,3141,9423
Greatest Common Factor
We found the factors 5959,9423 . The biggest common factor number is the GCF number.
So the greatest common factor 5959,9423 is 1.
Lets's calculate LCM of 505,606
| 101 | 505, 606 |
| 5, 6 |
∴ So the LCM of the given numbers is 101 x 5 x 6 = 3030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3030
Therefore, the GCF of Fractions 5959/505,9423/606 is 1/3030
Least Common Multiple of 505,606 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 505,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,606) = 101
common factors(in case of two or more numbers have common factors) = 1
GCF(505,606) x common factors =101 x 1 = 101
LCM(505,606) = ( 505 × 606 ) / 101
LCM(505,606) = 306030 / 101
LCM(505,606) = 3030
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FAQs on GCF of Fractions of 5959/505, 9423/606
1. What is the HCF of 5959,9423?
The HCF of 5959,9423 is 1
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 5959/505, 9423/606?
Answer: GCF of Numerators as per given numbers 5959/505, 9423/606 is
GCF of Numerators i.e. for 5959,9423 is 1
LCM of denominators i.e. for 505,606 is 3030.
Thus, GCF of Fractions is 1/3030.Finally, GCF of Fractions for 5959/505, 9423/606 is 1/3030.