Use our free GCF of Fractions Calculator tool to compute the GCF of 505/819, 975/683 i.e 5/559377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 505/819, 975/683.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 505/819,975/683
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 505/819,975/683, numerators are 505,975
Denominators are 819,683
The GCF of 505,975 is 5 .
LCM of 819,683 is 559377.
The greatest common factor of 505/819,975/683 = [GCF of 505,975]/[LCM of 819,683]= 5/559377
Therefore, the GCF of 505/819,975/683 is 5/559377.
To find the highest common factor of 505,975, we have to find the factors of both numbers and list the highest common factor.
The factors of 505 are 1, 5, 101, 505
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The HCF of 505,975 is 5.
Lets's calculate GCF of 505,975
5 | 505, 975 |
101, 195 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 505
:1,5,101,505
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 505,975 . The biggest common factor number is the GCF number.
So the greatest common factor 505,975 is 5.
Lets's calculate LCM of 819,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 559377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/559377
Therefore, the GCF of Fractions 505/819,975/683 is 5/559377
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 819,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,683) x common factors =1 x 1 = 1
LCM(819,683) = ( 819 × 683 ) / 1
LCM(819,683) = 559377 / 1
LCM(819,683) = 559377
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 505,975?
The HCF of 505,975 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 505/819, 975/683?
Answer: GCF of Numerators as per given numbers 505/819, 975/683 is
GCF of Numerators i.e. for 505,975 is 5
LCM of denominators i.e. for 819,683 is 559377.
Thus, GCF of Fractions is 5/559377.Finally, GCF of Fractions for 505/819, 975/683 is 5/559377.