Use our free GCF of Fractions Calculator tool to compute the GCF of 2596/694, 6372/3844 i.e 236/1333868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2596/694, 6372/3844.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2596/694,6372/3844
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 2596/694,6372/3844, numerators are 2596,6372
Denominators are 694,3844
The GCF of 2596,6372 is 236 .
LCM of 694,3844 is 1333868.
The greatest common factor of 2596/694,6372/3844 = [GCF of 2596,6372]/[LCM of 694,3844]= 236/1333868
Therefore, the GCF of 2596/694,6372/3844 is 236/1333868.
To find the highest common factor of 2596,6372, we have to find the factors of both numbers and list the highest common factor.
The factors of 2596 are 1, 2, 4, 11, 22, 44, 59, 118, 236, 649, 1298, 2596
The factors of 6372 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236, 354, 531, 708, 1062, 1593, 2124, 3186, 6372
The HCF of 2596,6372 is 236.
Lets's calculate GCF of 2596,6372
2 | 2596, 6372 |
2 | 1298, 3186 |
59 | 649, 1593 |
11, 27 |
∴ So the GCF of the given numbers is 2 x 2 x 59 = 236
Now, list down the factors of 2596
:1,2,4,11,22,44,59,118,236,649,1298,2596
Now, list down the factors of 6372
:1,2,3,4,6,9,12,18,27,36,54,59,108,118,177,236,354,531,708,1062,1593,2124,3186,6372
Greatest Common Factor
We found the factors 2596,6372 . The biggest common factor number is the GCF number.
So the greatest common factor 2596,6372 is 236.
Lets's calculate LCM of 694,3844
2 | 694, 3844 |
347, 1922 |
∴ So the LCM of the given numbers is 2 x 347 x 1922 = 1333868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 236/1333868
Therefore, the GCF of Fractions 2596/694,6372/3844 is 236/1333868
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 694,3844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,3844) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,3844) x common factors =2 x 1 = 2
LCM(694,3844) = ( 694 × 3844 ) / 2
LCM(694,3844) = 2667736 / 2
LCM(694,3844) = 1333868
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2596,6372?
The HCF of 2596,6372 is 236
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 2596/694, 6372/3844?
Answer: GCF of Numerators as per given numbers 2596/694, 6372/3844 is
GCF of Numerators i.e. for 2596,6372 is 236
LCM of denominators i.e. for 694,3844 is 1333868.
Thus, GCF of Fractions is 236/1333868.Finally, GCF of Fractions for 2596/694, 6372/3844 is 236/1333868.