Use our free GCF of Fractions Calculator tool to compute the GCF of 60/32, 112/78, 533/207 i.e 1/86112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/32, 112/78, 533/207.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 60/32,112/78,533/207
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 60/32,112/78,533/207, numerators are 60,112,533
Denominators are 32,78,207
The GCF of 60,112,533 is 1 .
LCM of 32,78,207 is 86112.
The greatest common factor of 60/32,112/78,533/207 = [GCF of 60,112,533]/[LCM of 32,78,207]= 1/86112
Therefore, the GCF of 60/32,112/78,533/207 is 1/86112.
To find the highest common factor of 60,112,533, we have to find the factors of both numbers and list the highest common factor.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
The factors of 533 are 1, 13, 41, 533
The HCF of 60,112,533 is 1.
Lets's calculate GCF of 60,112,533
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 112
:1,2,4,7,8,14,16,28,56,112
Now, list down the factors of 533
:1,13,41,533
Greatest Common Factor
We found the factors 60,112,533 . The biggest common factor number is the GCF number.
So the greatest common factor 60,112,533 is 1.
Lets's calculate LCM of 32,78,207
2 | 32, 78, 207 |
3 | 16, 39, 207 |
16, 13, 69 |
∴ So the LCM of the given numbers is 2 x 3 x 16 x 13 x 69 = 86112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86112
Therefore, the GCF of Fractions 60/32,112/78,533/207 is 1/86112
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 32,78,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,78,207) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(32,78,207) x common factors =1 x 6 = 6
LCM(32,78,207) = ( 32 × 78 × 207 ) / 6
LCM(32,78,207) = 516672 / 6
LCM(32,78,207) = 86112
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 60,112,533?
The HCF of 60,112,533 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 60/32, 112/78, 533/207?
Answer: GCF of Numerators as per given numbers 60/32, 112/78, 533/207 is
GCF of Numerators i.e. for 60,112,533 is 1
LCM of denominators i.e. for 32,78,207 is 86112.
Thus, GCF of Fractions is 1/86112.Finally, GCF of Fractions for 60/32, 112/78, 533/207 is 1/86112.