Use our free GCF of Fractions Calculator tool to compute the GCF of 68/582, 64/478, 744/215 i.e 4/29906070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/582, 64/478, 744/215.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 68/582,64/478,744/215
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 68/582,64/478,744/215, numerators are 68,64,744
Denominators are 582,478,215
The GCF of 68,64,744 is 4 .
LCM of 582,478,215 is 29906070.
The greatest common factor of 68/582,64/478,744/215 = [GCF of 68,64,744]/[LCM of 582,478,215]= 4/29906070
Therefore, the GCF of 68/582,64/478,744/215 is 4/29906070.
To find the highest common factor of 68,64,744, we have to find the factors of both numbers and list the highest common factor.
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
The HCF of 68,64,744 is 4.
Lets's calculate GCF of 68,64,744
2 | 68, 64, 744 |
2 | 34, 32, 372 |
17, 16, 186 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 744
:1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Greatest Common Factor
We found the factors 68,64,744 . The biggest common factor number is the GCF number.
So the greatest common factor 68,64,744 is 4.
Lets's calculate LCM of 582,478,215
2 | 582, 478, 215 |
291, 239, 215 |
∴ So the LCM of the given numbers is 2 x 291 x 239 x 215 = 29906070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/29906070
Therefore, the GCF of Fractions 68/582,64/478,744/215 is 4/29906070
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 582,478,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,478,215) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(582,478,215) x common factors =1 x 2 = 2
LCM(582,478,215) = ( 582 × 478 × 215 ) / 2
LCM(582,478,215) = 59812140 / 2
LCM(582,478,215) = 29906070
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 68,64,744?
The HCF of 68,64,744 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 68/582, 64/478, 744/215?
Answer: GCF of Numerators as per given numbers 68/582, 64/478, 744/215 is
GCF of Numerators i.e. for 68,64,744 is 4
LCM of denominators i.e. for 582,478,215 is 29906070.
Thus, GCF of Fractions is 4/29906070.Finally, GCF of Fractions for 68/582, 64/478, 744/215 is 4/29906070.