Use our free GCF of Fractions Calculator tool to compute the GCF of 835/720, 225/875 i.e 5/126000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 835/720, 225/875.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 835/720,225/875
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 835/720,225/875, numerators are 835,225
Denominators are 720,875
The GCF of 835,225 is 5 .
LCM of 720,875 is 126000.
The greatest common factor of 835/720,225/875 = [GCF of 835,225]/[LCM of 720,875]= 5/126000
Therefore, the GCF of 835/720,225/875 is 5/126000.
To find the highest common factor of 835,225, we have to find the factors of both numbers and list the highest common factor.
The factors of 835 are 1, 5, 167, 835
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The HCF of 835,225 is 5.
Lets's calculate GCF of 835,225
5 | 835, 225 |
167, 45 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 835
:1,5,167,835
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 835,225 . The biggest common factor number is the GCF number.
So the greatest common factor 835,225 is 5.
Lets's calculate LCM of 720,875
5 | 720, 875 |
144, 175 |
∴ So the LCM of the given numbers is 5 x 144 x 175 = 126000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/126000
Therefore, the GCF of Fractions 835/720,225/875 is 5/126000
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 720,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,875) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(720,875) x common factors =5 x 1 = 5
LCM(720,875) = ( 720 × 875 ) / 5
LCM(720,875) = 630000 / 5
LCM(720,875) = 126000
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 835,225?
The HCF of 835,225 is 5
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 835/720, 225/875?
Answer: GCF of Numerators as per given numbers 835/720, 225/875 is
GCF of Numerators i.e. for 835,225 is 5
LCM of denominators i.e. for 720,875 is 126000.
Thus, GCF of Fractions is 5/126000.Finally, GCF of Fractions for 835/720, 225/875 is 5/126000.