Use our free GCF of Fractions Calculator tool to compute the GCF of 3188/405, 5552/9544 i.e 4/3865320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3188/405, 5552/9544.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3188/405,5552/9544
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 3188/405,5552/9544, numerators are 3188,5552
Denominators are 405,9544
The GCF of 3188,5552 is 4 .
LCM of 405,9544 is 3865320.
The greatest common factor of 3188/405,5552/9544 = [GCF of 3188,5552]/[LCM of 405,9544]= 4/3865320
Therefore, the GCF of 3188/405,5552/9544 is 4/3865320.
To find the highest common factor of 3188,5552, we have to find the factors of both numbers and list the highest common factor.
The factors of 3188 are 1, 2, 4, 797, 1594, 3188
The factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552
The HCF of 3188,5552 is 4.
Lets's calculate GCF of 3188,5552
2 | 3188, 5552 |
2 | 1594, 2776 |
797, 1388 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 3188
:1,2,4,797,1594,3188
Now, list down the factors of 5552
:1,2,4,8,16,347,694,1388,2776,5552
Greatest Common Factor
We found the factors 3188,5552 . The biggest common factor number is the GCF number.
So the greatest common factor 3188,5552 is 4.
Lets's calculate LCM of 405,9544
Given numbers has no common factors except 1. So, there LCM is their product i.e 3865320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3865320
Therefore, the GCF of Fractions 3188/405,5552/9544 is 4/3865320
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 405,9544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,9544) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,9544) x common factors =1 x 1 = 1
LCM(405,9544) = ( 405 × 9544 ) / 1
LCM(405,9544) = 3865320 / 1
LCM(405,9544) = 3865320
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3188,5552?
The HCF of 3188,5552 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 3188/405, 5552/9544?
Answer: GCF of Numerators as per given numbers 3188/405, 5552/9544 is
GCF of Numerators i.e. for 3188,5552 is 4
LCM of denominators i.e. for 405,9544 is 3865320.
Thus, GCF of Fractions is 4/3865320.Finally, GCF of Fractions for 3188/405, 5552/9544 is 4/3865320.