Use our free GCF of Fractions Calculator tool to compute the GCF of 606/827, 505/453 i.e 101/374631 easily. The following is the detailed procedure to determine the greatest common factor of fractions 606/827, 505/453.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 606/827,505/453
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 606/827,505/453, numerators are 606,505
Denominators are 827,453
The GCF of 606,505 is 101 .
LCM of 827,453 is 374631.
The greatest common factor of 606/827,505/453 = [GCF of 606,505]/[LCM of 827,453]= 101/374631
Therefore, the GCF of 606/827,505/453 is 101/374631.
To find the highest common factor of 606,505, we have to find the factors of both numbers and list the highest common factor.
The factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606
The factors of 505 are 1, 5, 101, 505
The HCF of 606,505 is 101.
Lets's calculate GCF of 606,505
101 | 606, 505 |
6, 5 |
∴ So the GCF of the given numbers is 101 = 101
Now, list down the factors of 606
:1,2,3,6,101,202,303,606
Now, list down the factors of 505
:1,5,101,505
Greatest Common Factor
We found the factors 606,505 . The biggest common factor number is the GCF number.
So the greatest common factor 606,505 is 101.
Lets's calculate LCM of 827,453
Given numbers has no common factors except 1. So, there LCM is their product i.e 374631
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 101/374631
Therefore, the GCF of Fractions 606/827,505/453 is 101/374631
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 827,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,453) x common factors =1 x 1 = 1
LCM(827,453) = ( 827 × 453 ) / 1
LCM(827,453) = 374631 / 1
LCM(827,453) = 374631
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 606,505?
The HCF of 606,505 is 101
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 606/827, 505/453?
Answer: GCF of Numerators as per given numbers 606/827, 505/453 is
GCF of Numerators i.e. for 606,505 is 101
LCM of denominators i.e. for 827,453 is 374631.
Thus, GCF of Fractions is 101/374631.Finally, GCF of Fractions for 606/827, 505/453 is 101/374631.