Use our free GCF of Fractions Calculator tool to compute the GCF of 150/788, 825/846 i.e 75/333324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/788, 825/846.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 150/788,825/846
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 150/788,825/846, numerators are 150,825
Denominators are 788,846
The GCF of 150,825 is 75 .
LCM of 788,846 is 333324.
The greatest common factor of 150/788,825/846 = [GCF of 150,825]/[LCM of 788,846]= 75/333324
Therefore, the GCF of 150/788,825/846 is 75/333324.
To find the highest common factor of 150,825, we have to find the factors of both numbers and list the highest common factor.
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The factors of 825 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
The HCF of 150,825 is 75.
Lets's calculate GCF of 150,825
3 | 150, 825 |
5 | 50, 275 |
5 | 10, 55 |
2, 11 |
∴ So the GCF of the given numbers is 3 x 5 x 5 = 75
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Now, list down the factors of 825
:1,3,5,11,15,25,33,55,75,165,275,825
Greatest Common Factor
We found the factors 150,825 . The biggest common factor number is the GCF number.
So the greatest common factor 150,825 is 75.
Lets's calculate LCM of 788,846
2 | 788, 846 |
394, 423 |
∴ So the LCM of the given numbers is 2 x 394 x 423 = 333324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/333324
Therefore, the GCF of Fractions 150/788,825/846 is 75/333324
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 788,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,846) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(788,846) x common factors =2 x 1 = 2
LCM(788,846) = ( 788 × 846 ) / 2
LCM(788,846) = 666648 / 2
LCM(788,846) = 333324
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 150,825?
The HCF of 150,825 is 75
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 150/788, 825/846?
Answer: GCF of Numerators as per given numbers 150/788, 825/846 is
GCF of Numerators i.e. for 150,825 is 75
LCM of denominators i.e. for 788,846 is 333324.
Thus, GCF of Fractions is 75/333324.Finally, GCF of Fractions for 150/788, 825/846 is 75/333324.