Use our free GCF of Fractions Calculator tool to compute the GCF of 63/809, 82/769, 255/811 i.e 1/504540131 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/809, 82/769, 255/811.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/809,82/769,255/811
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 63/809,82/769,255/811, numerators are 63,82,255
Denominators are 809,769,811
The GCF of 63,82,255 is 1 .
LCM of 809,769,811 is 504540131.
The greatest common factor of 63/809,82/769,255/811 = [GCF of 63,82,255]/[LCM of 809,769,811]= 1/504540131
Therefore, the GCF of 63/809,82/769,255/811 is 1/504540131.
To find the highest common factor of 63,82,255, we have to find the factors of both numbers and list the highest common factor.
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 82 are 1, 2, 41, 82
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The HCF of 63,82,255 is 1.
Lets's calculate GCF of 63,82,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 63,82,255 . The biggest common factor number is the GCF number.
So the greatest common factor 63,82,255 is 1.
Lets's calculate LCM of 809,769,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 504540131
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/504540131
Therefore, the GCF of Fractions 63/809,82/769,255/811 is 1/504540131
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 809,769,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,769,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,769,811) x common factors =1 x 1 = 1
LCM(809,769,811) = ( 809 × 769 × 811 ) / 1
LCM(809,769,811) = 504540131 / 1
LCM(809,769,811) = 504540131
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 63,82,255?
The HCF of 63,82,255 is 1
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 63/809, 82/769, 255/811?
Answer: GCF of Numerators as per given numbers 63/809, 82/769, 255/811 is
GCF of Numerators i.e. for 63,82,255 is 1
LCM of denominators i.e. for 809,769,811 is 504540131.
Thus, GCF of Fractions is 1/504540131.Finally, GCF of Fractions for 63/809, 82/769, 255/811 is 1/504540131.