Use our free GCF of Fractions Calculator tool to compute the GCF of 57/748, 447/897, 120/132 i.e 3/670956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 57/748, 447/897, 120/132.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 57/748,447/897,120/132
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 57/748,447/897,120/132, numerators are 57,447,120
Denominators are 748,897,132
The GCF of 57,447,120 is 3 .
LCM of 748,897,132 is 670956.
The greatest common factor of 57/748,447/897,120/132 = [GCF of 57,447,120]/[LCM of 748,897,132]= 3/670956
Therefore, the GCF of 57/748,447/897,120/132 is 3/670956.
To find the highest common factor of 57,447,120, we have to find the factors of both numbers and list the highest common factor.
The factors of 57 are 1, 3, 19, 57
The factors of 447 are 1, 3, 149, 447
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The HCF of 57,447,120 is 3.
Lets's calculate GCF of 57,447,120
3 | 57, 447, 120 |
19, 149, 40 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 447
:1,3,149,447
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Greatest Common Factor
We found the factors 57,447,120 . The biggest common factor number is the GCF number.
So the greatest common factor 57,447,120 is 3.
Lets's calculate LCM of 748,897,132
2 | 748, 897, 132 |
2 | 374, 897, 66 |
3 | 187, 897, 33 |
11 | 187, 299, 11 |
17, 299, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 17 x 299 x 1 = 670956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/670956
Therefore, the GCF of Fractions 57/748,447/897,120/132 is 3/670956
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 748,897,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,897,132) = 1
common factors(in case of two or more numbers have common factors) = 132
GCF(748,897,132) x common factors =1 x 132 = 132
LCM(748,897,132) = ( 748 × 897 × 132 ) / 132
LCM(748,897,132) = 88566192 / 132
LCM(748,897,132) = 670956
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 57,447,120?
The HCF of 57,447,120 is 3
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 57/748, 447/897, 120/132?
Answer: GCF of Numerators as per given numbers 57/748, 447/897, 120/132 is
GCF of Numerators i.e. for 57,447,120 is 3
LCM of denominators i.e. for 748,897,132 is 670956.
Thus, GCF of Fractions is 3/670956.Finally, GCF of Fractions for 57/748, 447/897, 120/132 is 3/670956.