Use our free GCF of Fractions Calculator tool to compute the GCF of 150/697, 505/865 i.e 5/602905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 150/697, 505/865.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 150/697,505/865
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 150/697,505/865, numerators are 150,505
Denominators are 697,865
The GCF of 150,505 is 5 .
LCM of 697,865 is 602905.
The greatest common factor of 150/697,505/865 = [GCF of 150,505]/[LCM of 697,865]= 5/602905
Therefore, the GCF of 150/697,505/865 is 5/602905.
To find the highest common factor of 150,505, 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 505 are 1, 5, 101, 505
The HCF of 150,505 is 5.
Lets's calculate GCF of 150,505
5 | 150, 505 |
30, 101 |
∴ So the GCF of the given numbers is 5 = 5
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 505
:1,5,101,505
Greatest Common Factor
We found the factors 150,505 . The biggest common factor number is the GCF number.
So the greatest common factor 150,505 is 5.
Lets's calculate LCM of 697,865
Given numbers has no common factors except 1. So, there LCM is their product i.e 602905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/602905
Therefore, the GCF of Fractions 150/697,505/865 is 5/602905
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 697,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,865) x common factors =1 x 1 = 1
LCM(697,865) = ( 697 × 865 ) / 1
LCM(697,865) = 602905 / 1
LCM(697,865) = 602905
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 150,505?
The HCF of 150,505 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 150/697, 505/865?
Answer: GCF of Numerators as per given numbers 150/697, 505/865 is
GCF of Numerators i.e. for 150,505 is 5
LCM of denominators i.e. for 697,865 is 602905.
Thus, GCF of Fractions is 5/602905.Finally, GCF of Fractions for 150/697, 505/865 is 5/602905.