Use our free GCF of Fractions Calculator tool to compute the GCF of 625/406, 450/300 i.e 25/60900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 625/406, 450/300.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 625/406,450/300
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 625/406,450/300, numerators are 625,450
Denominators are 406,300
The GCF of 625,450 is 25 .
LCM of 406,300 is 60900.
The greatest common factor of 625/406,450/300 = [GCF of 625,450]/[LCM of 406,300]= 25/60900
Therefore, the GCF of 625/406,450/300 is 25/60900.
To find the highest common factor of 625,450, we have to find the factors of both numbers and list the highest common factor.
The factors of 625 are 1, 5, 25, 125, 625
The factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
The HCF of 625,450 is 25.
Lets's calculate GCF of 625,450
5 | 625, 450 |
5 | 125, 90 |
25, 18 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Now, list down the factors of 625
:1,5,25,125,625
Now, list down the factors of 450
:1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 625,450 . The biggest common factor number is the GCF number.
So the greatest common factor 625,450 is 25.
Lets's calculate LCM of 406,300
2 | 406, 300 |
203, 150 |
∴ So the LCM of the given numbers is 2 x 203 x 150 = 60900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/60900
Therefore, the GCF of Fractions 625/406,450/300 is 25/60900
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 406,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,300) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,300) x common factors =2 x 1 = 2
LCM(406,300) = ( 406 × 300 ) / 2
LCM(406,300) = 121800 / 2
LCM(406,300) = 60900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 625,450?
The HCF of 625,450 is 25
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 625/406, 450/300?
Answer: GCF of Numerators as per given numbers 625/406, 450/300 is
GCF of Numerators i.e. for 625,450 is 25
LCM of denominators i.e. for 406,300 is 60900.
Thus, GCF of Fractions is 25/60900.Finally, GCF of Fractions for 625/406, 450/300 is 25/60900.