Use our free GCF of Fractions Calculator tool to compute the GCF of 4940/462, 2395/4841 i.e 5/2236542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4940/462, 2395/4841.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4940/462,2395/4841
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 4940/462,2395/4841, numerators are 4940,2395
Denominators are 462,4841
The GCF of 4940,2395 is 5 .
LCM of 462,4841 is 2236542.
The greatest common factor of 4940/462,2395/4841 = [GCF of 4940,2395]/[LCM of 462,4841]= 5/2236542
Therefore, the GCF of 4940/462,2395/4841 is 5/2236542.
To find the highest common factor of 4940,2395, we have to find the factors of both numbers and list the highest common factor.
The factors of 4940 are 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940
The factors of 2395 are 1, 5, 479, 2395
The HCF of 4940,2395 is 5.
Lets's calculate GCF of 4940,2395
5 | 4940, 2395 |
988, 479 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 4940
:1,2,4,5,10,13,19,20,26,38,52,65,76,95,130,190,247,260,380,494,988,1235,2470,4940
Now, list down the factors of 2395
:1,5,479,2395
Greatest Common Factor
We found the factors 4940,2395 . The biggest common factor number is the GCF number.
So the greatest common factor 4940,2395 is 5.
Lets's calculate LCM of 462,4841
Given numbers has no common factors except 1. So, there LCM is their product i.e 2236542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2236542
Therefore, the GCF of Fractions 4940/462,2395/4841 is 5/2236542
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 462,4841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,4841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(462,4841) x common factors =1 x 1 = 1
LCM(462,4841) = ( 462 × 4841 ) / 1
LCM(462,4841) = 2236542 / 1
LCM(462,4841) = 2236542
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4940,2395?
The HCF of 4940,2395 is 5
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 4940/462, 2395/4841?
Answer: GCF of Numerators as per given numbers 4940/462, 2395/4841 is
GCF of Numerators i.e. for 4940,2395 is 5
LCM of denominators i.e. for 462,4841 is 2236542.
Thus, GCF of Fractions is 5/2236542.Finally, GCF of Fractions for 4940/462, 2395/4841 is 5/2236542.