Use our free GCF of Fractions Calculator tool to compute the GCF of 44/67, 240/53, 238/413 i.e 2/1466563 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/67, 240/53, 238/413.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 44/67,240/53,238/413
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 44/67,240/53,238/413, numerators are 44,240,238
Denominators are 67,53,413
The GCF of 44,240,238 is 2 .
LCM of 67,53,413 is 1466563.
The greatest common factor of 44/67,240/53,238/413 = [GCF of 44,240,238]/[LCM of 67,53,413]= 2/1466563
Therefore, the GCF of 44/67,240/53,238/413 is 2/1466563.
To find the highest common factor of 44,240,238, we have to find the factors of both numbers and list the highest common factor.
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The HCF of 44,240,238 is 2.
Lets's calculate GCF of 44,240,238
2 | 44, 240, 238 |
22, 120, 119 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 240
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 44,240,238 . The biggest common factor number is the GCF number.
So the greatest common factor 44,240,238 is 2.
Lets's calculate LCM of 67,53,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 1466563
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1466563
Therefore, the GCF of Fractions 44/67,240/53,238/413 is 2/1466563
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 67,53,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,53,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,53,413) x common factors =1 x 1 = 1
LCM(67,53,413) = ( 67 × 53 × 413 ) / 1
LCM(67,53,413) = 1466563 / 1
LCM(67,53,413) = 1466563
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 44,240,238?
The HCF of 44,240,238 is 2
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 44/67, 240/53, 238/413?
Answer: GCF of Numerators as per given numbers 44/67, 240/53, 238/413 is
GCF of Numerators i.e. for 44,240,238 is 2
LCM of denominators i.e. for 67,53,413 is 1466563.
Thus, GCF of Fractions is 2/1466563.Finally, GCF of Fractions for 44/67, 240/53, 238/413 is 2/1466563.