Use our free GCF of Fractions Calculator tool to compute the GCF of 38/32, 111/44, 788/537 i.e 1/189024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/32, 111/44, 788/537.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/32,111/44,788/537
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 38/32,111/44,788/537, numerators are 38,111,788
Denominators are 32,44,537
The GCF of 38,111,788 is 1 .
LCM of 32,44,537 is 189024.
The greatest common factor of 38/32,111/44,788/537 = [GCF of 38,111,788]/[LCM of 32,44,537]= 1/189024
Therefore, the GCF of 38/32,111/44,788/537 is 1/189024.
To find the highest common factor of 38,111,788, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 111 are 1, 3, 37, 111
The factors of 788 are 1, 2, 4, 197, 394, 788
The HCF of 38,111,788 is 1.
Lets's calculate GCF of 38,111,788
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 111
:1,3,37,111
Now, list down the factors of 788
:1,2,4,197,394,788
Greatest Common Factor
We found the factors 38,111,788 . The biggest common factor number is the GCF number.
So the greatest common factor 38,111,788 is 1.
Lets's calculate LCM of 32,44,537
2 | 32, 44, 537 |
2 | 16, 22, 537 |
8, 11, 537 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 11 x 537 = 189024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189024
Therefore, the GCF of Fractions 38/32,111/44,788/537 is 1/189024
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 32,44,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,44,537) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(32,44,537) x common factors =1 x 4 = 4
LCM(32,44,537) = ( 32 × 44 × 537 ) / 4
LCM(32,44,537) = 756096 / 4
LCM(32,44,537) = 189024
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,111,788?
The HCF of 38,111,788 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 38/32, 111/44, 788/537?
Answer: GCF of Numerators as per given numbers 38/32, 111/44, 788/537 is
GCF of Numerators i.e. for 38,111,788 is 1
LCM of denominators i.e. for 32,44,537 is 189024.
Thus, GCF of Fractions is 1/189024.Finally, GCF of Fractions for 38/32, 111/44, 788/537 is 1/189024.