Use our free GCF of Fractions Calculator tool to compute the GCF of 32/82, 135/78, 387/932 i.e 1/1490268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 32/82, 135/78, 387/932.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 32/82,135/78,387/932
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 32/82,135/78,387/932, numerators are 32,135,387
Denominators are 82,78,932
The GCF of 32,135,387 is 1 .
LCM of 82,78,932 is 1490268.
The greatest common factor of 32/82,135/78,387/932 = [GCF of 32,135,387]/[LCM of 82,78,932]= 1/1490268
Therefore, the GCF of 32/82,135/78,387/932 is 1/1490268.
To find the highest common factor of 32,135,387, we have to find the factors of both numbers and list the highest common factor.
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135
The factors of 387 are 1, 3, 9, 43, 129, 387
The HCF of 32,135,387 is 1.
Lets's calculate GCF of 32,135,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 135
:1,3,5,9,15,27,45,135
Now, list down the factors of 387
:1,3,9,43,129,387
Greatest Common Factor
We found the factors 32,135,387 . The biggest common factor number is the GCF number.
So the greatest common factor 32,135,387 is 1.
Lets's calculate LCM of 82,78,932
2 | 82, 78, 932 |
41, 39, 466 |
∴ So the LCM of the given numbers is 2 x 41 x 39 x 466 = 1490268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1490268
Therefore, the GCF of Fractions 32/82,135/78,387/932 is 1/1490268
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 82,78,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,78,932) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(82,78,932) x common factors =2 x 2 = 4
LCM(82,78,932) = ( 82 × 78 × 932 ) / 4
LCM(82,78,932) = 5961072 / 4
LCM(82,78,932) = 1490268
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 32,135,387?
The HCF of 32,135,387 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 32/82, 135/78, 387/932?
Answer: GCF of Numerators as per given numbers 32/82, 135/78, 387/932 is
GCF of Numerators i.e. for 32,135,387 is 1
LCM of denominators i.e. for 82,78,932 is 1490268.
Thus, GCF of Fractions is 1/1490268.Finally, GCF of Fractions for 32/82, 135/78, 387/932 is 1/1490268.