GCF of 5005/192, 9959/4639
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5005/192, 9959/4639 i.e 1/890688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5005/192, 9959/4639.
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 5005/192,9959/4639?
Given fractions are 5005/192,9959/4639
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 5005/192,9959/4639, numerators are 5005,9959
Denominators are 192,4639
The GCF of 5005,9959 is 1 .
LCM of 192,4639 is 890688.
The greatest common factor of 5005/192,9959/4639 = [GCF of 5005,9959]/[LCM of 192,4639]= 1/890688
Therefore, the GCF of 5005/192,9959/4639 is 1/890688.
To find the highest common factor of 5005,9959, we have to find the factors of both numbers and list the highest common factor.
The factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 455, 715, 1001, 5005
The factors of 9959 are 1, 23, 433, 9959
The HCF of 5005,9959 is 1.
Lets's calculate GCF of 5005,9959
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5005,9959 By Matching Biggest Common Factor Method
Now, list down the factors of 5005
:1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005
Now, list down the factors of 9959
:1,23,433,9959
Greatest Common Factor
We found the factors 5005,9959 . The biggest common factor number is the GCF number.
So the greatest common factor 5005,9959 is 1.
Lets's calculate LCM of 192,4639
Given numbers has no common factors except 1. So, there LCM is their product i.e 890688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/890688
Therefore, the GCF of Fractions 5005/192,9959/4639 is 1/890688
Least Common Multiple of 192,4639 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 192,4639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,4639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(192,4639) x common factors =1 x 1 = 1
LCM(192,4639) = ( 192 × 4639 ) / 1
LCM(192,4639) = 890688 / 1
LCM(192,4639) = 890688
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5005/192, 9959/4639
1. What is the HCF of 5005,9959?
The HCF of 5005,9959 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 5005/192, 9959/4639?
Answer: GCF of Numerators as per given numbers 5005/192, 9959/4639 is
GCF of Numerators i.e. for 5005,9959 is 1
LCM of denominators i.e. for 192,4639 is 890688.
Thus, GCF of Fractions is 1/890688.Finally, GCF of Fractions for 5005/192, 9959/4639 is 1/890688.