Use our free GCF of Fractions Calculator tool to compute the GCF of 6419/872, 4862/2836 i.e 1/618248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6419/872, 4862/2836.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6419/872,4862/2836
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 6419/872,4862/2836, numerators are 6419,4862
Denominators are 872,2836
The GCF of 6419,4862 is 1 .
LCM of 872,2836 is 618248.
The greatest common factor of 6419/872,4862/2836 = [GCF of 6419,4862]/[LCM of 872,2836]= 1/618248
Therefore, the GCF of 6419/872,4862/2836 is 1/618248.
To find the highest common factor of 6419,4862, we have to find the factors of both numbers and list the highest common factor.
The factors of 6419 are 1, 7, 49, 131, 917, 6419
The factors of 4862 are 1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 374, 442, 2431, 4862
The HCF of 6419,4862 is 1.
Lets's calculate GCF of 6419,4862
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6419
:1,7,49,131,917,6419
Now, list down the factors of 4862
:1,2,11,13,17,22,26,34,143,187,221,286,374,442,2431,4862
Greatest Common Factor
We found the factors 6419,4862 . The biggest common factor number is the GCF number.
So the greatest common factor 6419,4862 is 1.
Lets's calculate LCM of 872,2836
2 | 872, 2836 |
2 | 436, 1418 |
218, 709 |
∴ So the LCM of the given numbers is 2 x 2 x 218 x 709 = 618248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618248
Therefore, the GCF of Fractions 6419/872,4862/2836 is 1/618248
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 872,2836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,2836) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(872,2836) x common factors =4 x 1 = 4
LCM(872,2836) = ( 872 × 2836 ) / 4
LCM(872,2836) = 2472992 / 4
LCM(872,2836) = 618248
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6419,4862?
The HCF of 6419,4862 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 6419/872, 4862/2836?
Answer: GCF of Numerators as per given numbers 6419/872, 4862/2836 is
GCF of Numerators i.e. for 6419,4862 is 1
LCM of denominators i.e. for 872,2836 is 618248.
Thus, GCF of Fractions is 1/618248.Finally, GCF of Fractions for 6419/872, 4862/2836 is 1/618248.