Use our free GCF of Fractions Calculator tool to compute the GCF of 650/395, 875/464 i.e 25/183280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 650/395, 875/464.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 650/395,875/464
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 650/395,875/464, numerators are 650,875
Denominators are 395,464
The GCF of 650,875 is 25 .
LCM of 395,464 is 183280.
The greatest common factor of 650/395,875/464 = [GCF of 650,875]/[LCM of 395,464]= 25/183280
Therefore, the GCF of 650/395,875/464 is 25/183280.
To find the highest common factor of 650,875, we have to find the factors of both numbers and list the highest common factor.
The factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
The factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875
The HCF of 650,875 is 25.
Lets's calculate GCF of 650,875
5 | 650, 875 |
5 | 130, 175 |
26, 35 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Now, list down the factors of 650
:1,2,5,10,13,25,26,50,65,130,325,650
Now, list down the factors of 875
:1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 650,875 . The biggest common factor number is the GCF number.
So the greatest common factor 650,875 is 25.
Lets's calculate LCM of 395,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 183280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/183280
Therefore, the GCF of Fractions 650/395,875/464 is 25/183280
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 395,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,464) x common factors =1 x 1 = 1
LCM(395,464) = ( 395 × 464 ) / 1
LCM(395,464) = 183280 / 1
LCM(395,464) = 183280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 650,875?
The HCF of 650,875 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 650/395, 875/464?
Answer: GCF of Numerators as per given numbers 650/395, 875/464 is
GCF of Numerators i.e. for 650,875 is 25
LCM of denominators i.e. for 395,464 is 183280.
Thus, GCF of Fractions is 25/183280.Finally, GCF of Fractions for 650/395, 875/464 is 25/183280.