Use our free GCF of Fractions Calculator tool to compute the GCF of 435/117, 300/441 i.e 15/5733 easily. The following is the detailed procedure to determine the greatest common factor of fractions 435/117, 300/441.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 435/117,300/441
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 435/117,300/441, numerators are 435,300
Denominators are 117,441
The GCF of 435,300 is 15 .
LCM of 117,441 is 5733.
The greatest common factor of 435/117,300/441 = [GCF of 435,300]/[LCM of 117,441]= 15/5733
Therefore, the GCF of 435/117,300/441 is 15/5733.
To find the highest common factor of 435,300, we have to find the factors of both numbers and list the highest common factor.
The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435
The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
The HCF of 435,300 is 15.
Lets's calculate GCF of 435,300
3 | 435, 300 |
5 | 145, 100 |
29, 20 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Now, list down the factors of 435
:1,3,5,15,29,87,145,435
Now, list down the factors of 300
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 435,300 . The biggest common factor number is the GCF number.
So the greatest common factor 435,300 is 15.
Lets's calculate LCM of 117,441
3 | 117, 441 |
3 | 39, 147 |
13, 49 |
∴ So the LCM of the given numbers is 3 x 3 x 13 x 49 = 5733
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/5733
Therefore, the GCF of Fractions 435/117,300/441 is 15/5733
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 117,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,441) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(117,441) x common factors =9 x 1 = 9
LCM(117,441) = ( 117 × 441 ) / 9
LCM(117,441) = 51597 / 9
LCM(117,441) = 5733
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 435,300?
The HCF of 435,300 is 15
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 435/117, 300/441?
Answer: GCF of Numerators as per given numbers 435/117, 300/441 is
GCF of Numerators i.e. for 435,300 is 15
LCM of denominators i.e. for 117,441 is 5733.
Thus, GCF of Fractions is 15/5733.Finally, GCF of Fractions for 435/117, 300/441 is 15/5733.