Use our free GCF of Fractions Calculator tool to compute the GCF of 40/234, 171/481, 620/247 i.e 1/164502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 40/234, 171/481, 620/247.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/234,171/481,620/247
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 40/234,171/481,620/247, numerators are 40,171,620
Denominators are 234,481,247
The GCF of 40,171,620 is 1 .
LCM of 234,481,247 is 164502.
The greatest common factor of 40/234,171/481,620/247 = [GCF of 40,171,620]/[LCM of 234,481,247]= 1/164502
Therefore, the GCF of 40/234,171/481,620/247 is 1/164502.
To find the highest common factor of 40,171,620, we have to find the factors of both numbers and list the highest common factor.
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
The factors of 171 are 1, 3, 9, 19, 57, 171
The factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
The HCF of 40,171,620 is 1.
Lets's calculate GCF of 40,171,620
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 40
:1,2,4,5,8,10,20,40
Now, list down the factors of 171
:1,3,9,19,57,171
Now, list down the factors of 620
:1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 40,171,620 . The biggest common factor number is the GCF number.
So the greatest common factor 40,171,620 is 1.
Lets's calculate LCM of 234,481,247
13 | 234, 481, 247 |
18, 37, 19 |
∴ So the LCM of the given numbers is 13 x 18 x 37 x 19 = 164502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164502
Therefore, the GCF of Fractions 40/234,171/481,620/247 is 1/164502
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 234,481,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,481,247) = 13
common factors(in case of two or more numbers have common factors) = 13
GCF(234,481,247) x common factors =13 x 13 = 169
LCM(234,481,247) = ( 234 × 481 × 247 ) / 169
LCM(234,481,247) = 27800838 / 169
LCM(234,481,247) = 164502
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 40,171,620?
The HCF of 40,171,620 is 1
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 40/234, 171/481, 620/247?
Answer: GCF of Numerators as per given numbers 40/234, 171/481, 620/247 is
GCF of Numerators i.e. for 40,171,620 is 1
LCM of denominators i.e. for 234,481,247 is 164502.
Thus, GCF of Fractions is 1/164502.Finally, GCF of Fractions for 40/234, 171/481, 620/247 is 1/164502.