Use our free GCF of Fractions Calculator tool to compute the GCF of 31/65, 724/41, 473/191 i.e 1/509015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 31/65, 724/41, 473/191.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 31/65,724/41,473/191
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 31/65,724/41,473/191, numerators are 31,724,473
Denominators are 65,41,191
The GCF of 31,724,473 is 1 .
LCM of 65,41,191 is 509015.
The greatest common factor of 31/65,724/41,473/191 = [GCF of 31,724,473]/[LCM of 65,41,191]= 1/509015
Therefore, the GCF of 31/65,724/41,473/191 is 1/509015.
To find the highest common factor of 31,724,473, 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 724 are 1, 2, 4, 181, 362, 724
The factors of 473 are 1, 11, 43, 473
The HCF of 31,724,473 is 1.
Lets's calculate GCF of 31,724,473
∴ 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 724
:1,2,4,181,362,724
Now, list down the factors of 473
:1,11,43,473
Greatest Common Factor
We found the factors 31,724,473 . The biggest common factor number is the GCF number.
So the greatest common factor 31,724,473 is 1.
Lets's calculate LCM of 65,41,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 509015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/509015
Therefore, the GCF of Fractions 31/65,724/41,473/191 is 1/509015
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 65,41,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,41,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,41,191) x common factors =1 x 1 = 1
LCM(65,41,191) = ( 65 × 41 × 191 ) / 1
LCM(65,41,191) = 509015 / 1
LCM(65,41,191) = 509015
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 31,724,473?
The HCF of 31,724,473 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 31/65, 724/41, 473/191?
Answer: GCF of Numerators as per given numbers 31/65, 724/41, 473/191 is
GCF of Numerators i.e. for 31,724,473 is 1
LCM of denominators i.e. for 65,41,191 is 509015.
Thus, GCF of Fractions is 1/509015.Finally, GCF of Fractions for 31/65, 724/41, 473/191 is 1/509015.