GCF of 5727/143, 9959/3437
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5727/143, 9959/3437 i.e 23/491491 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5727/143, 9959/3437.
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 5727/143,9959/3437?
Given fractions are 5727/143,9959/3437
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 5727/143,9959/3437, numerators are 5727,9959
Denominators are 143,3437
The GCF of 5727,9959 is 23 .
LCM of 143,3437 is 491491.
The greatest common factor of 5727/143,9959/3437 = [GCF of 5727,9959]/[LCM of 143,3437]= 23/491491
Therefore, the GCF of 5727/143,9959/3437 is 23/491491.
To find the highest common factor of 5727,9959, we have to find the factors of both numbers and list the highest common factor.
The factors of 5727 are 1, 3, 23, 69, 83, 249, 1909, 5727
The factors of 9959 are 1, 23, 433, 9959
The HCF of 5727,9959 is 23.
Lets's calculate GCF of 5727,9959
| 23 | 5727, 9959 |
| 249, 433 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 5727,9959 By Matching Biggest Common Factor Method
Now, list down the factors of 5727
:1,3,23,69,83,249,1909,5727
Now, list down the factors of 9959
:1,23,433,9959
Greatest Common Factor
We found the factors 5727,9959 . The biggest common factor number is the GCF number.
So the greatest common factor 5727,9959 is 23.
Lets's calculate LCM of 143,3437
Given numbers has no common factors except 1. So, there LCM is their product i.e 491491
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/491491
Therefore, the GCF of Fractions 5727/143,9959/3437 is 23/491491
Least Common Multiple of 143,3437 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 143,3437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,3437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,3437) x common factors =1 x 1 = 1
LCM(143,3437) = ( 143 × 3437 ) / 1
LCM(143,3437) = 491491 / 1
LCM(143,3437) = 491491
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5727/143, 9959/3437
1. What is the HCF of 5727,9959?
The HCF of 5727,9959 is 23
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 5727/143, 9959/3437?
Answer: GCF of Numerators as per given numbers 5727/143, 9959/3437 is
GCF of Numerators i.e. for 5727,9959 is 23
LCM of denominators i.e. for 143,3437 is 491491.
Thus, GCF of Fractions is 23/491491.Finally, GCF of Fractions for 5727/143, 9959/3437 is 23/491491.