Use our free GCF of Fractions Calculator tool to compute the GCF of 662/565, 270/389 i.e 2/219785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 662/565, 270/389.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 662/565,270/389
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 662/565,270/389, numerators are 662,270
Denominators are 565,389
The GCF of 662,270 is 2 .
LCM of 565,389 is 219785.
The greatest common factor of 662/565,270/389 = [GCF of 662,270]/[LCM of 565,389]= 2/219785
Therefore, the GCF of 662/565,270/389 is 2/219785.
To find the highest common factor of 662,270, we have to find the factors of both numbers and list the highest common factor.
The factors of 662 are 1, 2, 331, 662
The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
The HCF of 662,270 is 2.
Lets's calculate GCF of 662,270
2 | 662, 270 |
331, 135 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 662
:1,2,331,662
Now, list down the factors of 270
:1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 662,270 . The biggest common factor number is the GCF number.
So the greatest common factor 662,270 is 2.
Lets's calculate LCM of 565,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 219785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/219785
Therefore, the GCF of Fractions 662/565,270/389 is 2/219785
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 565,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(565,389) x common factors =1 x 1 = 1
LCM(565,389) = ( 565 × 389 ) / 1
LCM(565,389) = 219785 / 1
LCM(565,389) = 219785
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 662,270?
The HCF of 662,270 is 2
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 662/565, 270/389?
Answer: GCF of Numerators as per given numbers 662/565, 270/389 is
GCF of Numerators i.e. for 662,270 is 2
LCM of denominators i.e. for 565,389 is 219785.
Thus, GCF of Fractions is 2/219785.Finally, GCF of Fractions for 662/565, 270/389 is 2/219785.