Use our free GCF of Fractions Calculator tool to compute the GCF of 3729/620, 1188/5569 i.e 33/3452780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3729/620, 1188/5569.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3729/620,1188/5569
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 3729/620,1188/5569, numerators are 3729,1188
Denominators are 620,5569
The GCF of 3729,1188 is 33 .
LCM of 620,5569 is 3452780.
The greatest common factor of 3729/620,1188/5569 = [GCF of 3729,1188]/[LCM of 620,5569]= 33/3452780
Therefore, the GCF of 3729/620,1188/5569 is 33/3452780.
To find the highest common factor of 3729,1188, we have to find the factors of both numbers and list the highest common factor.
The factors of 3729 are 1, 3, 11, 33, 113, 339, 1243, 3729
The factors of 1188 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 99, 108, 132, 198, 297, 396, 594, 1188
The HCF of 3729,1188 is 33.
Lets's calculate GCF of 3729,1188
3 | 3729, 1188 |
11 | 1243, 396 |
113, 36 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Now, list down the factors of 3729
:1,3,11,33,113,339,1243,3729
Now, list down the factors of 1188
:1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,99,108,132,198,297,396,594,1188
Greatest Common Factor
We found the factors 3729,1188 . The biggest common factor number is the GCF number.
So the greatest common factor 3729,1188 is 33.
Lets's calculate LCM of 620,5569
Given numbers has no common factors except 1. So, there LCM is their product i.e 3452780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/3452780
Therefore, the GCF of Fractions 3729/620,1188/5569 is 33/3452780
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 620,5569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,5569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,5569) x common factors =1 x 1 = 1
LCM(620,5569) = ( 620 × 5569 ) / 1
LCM(620,5569) = 3452780 / 1
LCM(620,5569) = 3452780
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3729,1188?
The HCF of 3729,1188 is 33
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 3729/620, 1188/5569?
Answer: GCF of Numerators as per given numbers 3729/620, 1188/5569 is
GCF of Numerators i.e. for 3729,1188 is 33
LCM of denominators i.e. for 620,5569 is 3452780.
Thus, GCF of Fractions is 33/3452780.Finally, GCF of Fractions for 3729/620, 1188/5569 is 33/3452780.