Use our free GCF of Fractions Calculator tool to compute the GCF of 75/33, 809/19, 852/492 i.e 1/102828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 75/33, 809/19, 852/492.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 75/33,809/19,852/492
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 75/33,809/19,852/492, numerators are 75,809,852
Denominators are 33,19,492
The GCF of 75,809,852 is 1 .
LCM of 33,19,492 is 102828.
The greatest common factor of 75/33,809/19,852/492 = [GCF of 75,809,852]/[LCM of 33,19,492]= 1/102828
Therefore, the GCF of 75/33,809/19,852/492 is 1/102828.
To find the highest common factor of 75,809,852, we have to find the factors of both numbers and list the highest common factor.
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 809 are 1, 809
The factors of 852 are 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
The HCF of 75,809,852 is 1.
Lets's calculate GCF of 75,809,852
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 75
:1,3,5,15,25,75
Now, list down the factors of 809
:1,809
Now, list down the factors of 852
:1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 75,809,852 . The biggest common factor number is the GCF number.
So the greatest common factor 75,809,852 is 1.
Lets's calculate LCM of 33,19,492
3 | 33, 19, 492 |
11, 19, 164 |
∴ So the LCM of the given numbers is 3 x 11 x 19 x 164 = 102828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102828
Therefore, the GCF of Fractions 75/33,809/19,852/492 is 1/102828
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 33,19,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,19,492) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(33,19,492) x common factors =1 x 3 = 3
LCM(33,19,492) = ( 33 × 19 × 492 ) / 3
LCM(33,19,492) = 308484 / 3
LCM(33,19,492) = 102828
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 75,809,852?
The HCF of 75,809,852 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 75/33, 809/19, 852/492?
Answer: GCF of Numerators as per given numbers 75/33, 809/19, 852/492 is
GCF of Numerators i.e. for 75,809,852 is 1
LCM of denominators i.e. for 33,19,492 is 102828.
Thus, GCF of Fractions is 1/102828.Finally, GCF of Fractions for 75/33, 809/19, 852/492 is 1/102828.