GCF of 4107/604, 5239/336
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4107/604, 5239/336 i.e 1/50736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4107/604, 5239/336.
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 4107/604,5239/336?
Given fractions are 4107/604,5239/336
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 4107/604,5239/336, numerators are 4107,5239
Denominators are 604,336
The GCF of 4107,5239 is 1 .
LCM of 604,336 is 50736.
The greatest common factor of 4107/604,5239/336 = [GCF of 4107,5239]/[LCM of 604,336]= 1/50736
Therefore, the GCF of 4107/604,5239/336 is 1/50736.
To find the highest common factor of 4107,5239, we have to find the factors of both numbers and list the highest common factor.
The factors of 4107 are 1, 3, 37, 111, 1369, 4107
The factors of 5239 are 1, 13, 31, 169, 403, 5239
The HCF of 4107,5239 is 1.
Lets's calculate GCF of 4107,5239
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4107,5239 By Matching Biggest Common Factor Method
Now, list down the factors of 4107
:1,3,37,111,1369,4107
Now, list down the factors of 5239
:1,13,31,169,403,5239
Greatest Common Factor
We found the factors 4107,5239 . The biggest common factor number is the GCF number.
So the greatest common factor 4107,5239 is 1.
Lets's calculate LCM of 604,336
| 2 | 604, 336 |
| 2 | 302, 168 |
| 151, 84 |
∴ So the LCM of the given numbers is 2 x 2 x 151 x 84 = 50736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50736
Therefore, the GCF of Fractions 4107/604,5239/336 is 1/50736
Least Common Multiple of 604,336 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 604,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(604,336) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(604,336) x common factors =4 x 1 = 4
LCM(604,336) = ( 604 × 336 ) / 4
LCM(604,336) = 202944 / 4
LCM(604,336) = 50736
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4107/604, 5239/336
1. What is the HCF of 4107,5239?
The HCF of 4107,5239 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 4107/604, 5239/336?
Answer: GCF of Numerators as per given numbers 4107/604, 5239/336 is
GCF of Numerators i.e. for 4107,5239 is 1
LCM of denominators i.e. for 604,336 is 50736.
Thus, GCF of Fractions is 1/50736.Finally, GCF of Fractions for 4107/604, 5239/336 is 1/50736.