Use our free GCF of Fractions Calculator tool to compute the GCF of 31/201, 99/331, 678/983 i.e 1/65399973 easily. The following is the detailed procedure to determine the greatest common factor of fractions 31/201, 99/331, 678/983.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 31/201,99/331,678/983
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 31/201,99/331,678/983, numerators are 31,99,678
Denominators are 201,331,983
The GCF of 31,99,678 is 1 .
LCM of 201,331,983 is 65399973.
The greatest common factor of 31/201,99/331,678/983 = [GCF of 31,99,678]/[LCM of 201,331,983]= 1/65399973
Therefore, the GCF of 31/201,99/331,678/983 is 1/65399973.
To find the highest common factor of 31,99,678, we have to find the factors of both numbers and list the highest common factor.
The factors of 31 are 1, 31
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678
The HCF of 31,99,678 is 1.
Lets's calculate GCF of 31,99,678
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 31
:1,31
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 678
:1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 31,99,678 . The biggest common factor number is the GCF number.
So the greatest common factor 31,99,678 is 1.
Lets's calculate LCM of 201,331,983
Given numbers has no common factors except 1. So, there LCM is their product i.e 65399973
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65399973
Therefore, the GCF of Fractions 31/201,99/331,678/983 is 1/65399973
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 201,331,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,331,983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(201,331,983) x common factors =1 x 1 = 1
LCM(201,331,983) = ( 201 × 331 × 983 ) / 1
LCM(201,331,983) = 65399973 / 1
LCM(201,331,983) = 65399973
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 31,99,678?
The HCF of 31,99,678 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 31/201, 99/331, 678/983?
Answer: GCF of Numerators as per given numbers 31/201, 99/331, 678/983 is
GCF of Numerators i.e. for 31,99,678 is 1
LCM of denominators i.e. for 201,331,983 is 65399973.
Thus, GCF of Fractions is 1/65399973.Finally, GCF of Fractions for 31/201, 99/331, 678/983 is 1/65399973.