Use our free GCF of Fractions Calculator tool to compute the GCF of 3472/792, 5252/3956 i.e 4/783288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3472/792, 5252/3956.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3472/792,5252/3956
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 3472/792,5252/3956, numerators are 3472,5252
Denominators are 792,3956
The GCF of 3472,5252 is 4 .
LCM of 792,3956 is 783288.
The greatest common factor of 3472/792,5252/3956 = [GCF of 3472,5252]/[LCM of 792,3956]= 4/783288
Therefore, the GCF of 3472/792,5252/3956 is 4/783288.
To find the highest common factor of 3472,5252, we have to find the factors of both numbers and list the highest common factor.
The factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472
The factors of 5252 are 1, 2, 4, 13, 26, 52, 101, 202, 404, 1313, 2626, 5252
The HCF of 3472,5252 is 4.
Lets's calculate GCF of 3472,5252
2 | 3472, 5252 |
2 | 1736, 2626 |
868, 1313 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 3472
:1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472
Now, list down the factors of 5252
:1,2,4,13,26,52,101,202,404,1313,2626,5252
Greatest Common Factor
We found the factors 3472,5252 . The biggest common factor number is the GCF number.
So the greatest common factor 3472,5252 is 4.
Lets's calculate LCM of 792,3956
2 | 792, 3956 |
2 | 396, 1978 |
198, 989 |
∴ So the LCM of the given numbers is 2 x 2 x 198 x 989 = 783288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/783288
Therefore, the GCF of Fractions 3472/792,5252/3956 is 4/783288
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 792,3956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,3956) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(792,3956) x common factors =4 x 1 = 4
LCM(792,3956) = ( 792 × 3956 ) / 4
LCM(792,3956) = 3133152 / 4
LCM(792,3956) = 783288
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3472,5252?
The HCF of 3472,5252 is 4
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 3472/792, 5252/3956?
Answer: GCF of Numerators as per given numbers 3472/792, 5252/3956 is
GCF of Numerators i.e. for 3472,5252 is 4
LCM of denominators i.e. for 792,3956 is 783288.
Thus, GCF of Fractions is 4/783288.Finally, GCF of Fractions for 3472/792, 5252/3956 is 4/783288.