Use our free GCF of Fractions Calculator tool to compute the GCF of 48/581, 81/400, 217/401 i.e 1/93192400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/581, 81/400, 217/401.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/581,81/400,217/401
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 48/581,81/400,217/401, numerators are 48,81,217
Denominators are 581,400,401
The GCF of 48,81,217 is 1 .
LCM of 581,400,401 is 93192400.
The greatest common factor of 48/581,81/400,217/401 = [GCF of 48,81,217]/[LCM of 581,400,401]= 1/93192400
Therefore, the GCF of 48/581,81/400,217/401 is 1/93192400.
To find the highest common factor of 48,81,217, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 81 are 1, 3, 9, 27, 81
The factors of 217 are 1, 7, 31, 217
The HCF of 48,81,217 is 1.
Lets's calculate GCF of 48,81,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 48,81,217 . The biggest common factor number is the GCF number.
So the greatest common factor 48,81,217 is 1.
Lets's calculate LCM of 581,400,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 93192400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93192400
Therefore, the GCF of Fractions 48/581,81/400,217/401 is 1/93192400
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 581,400,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(581,400,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(581,400,401) x common factors =1 x 1 = 1
LCM(581,400,401) = ( 581 × 400 × 401 ) / 1
LCM(581,400,401) = 93192400 / 1
LCM(581,400,401) = 93192400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,81,217?
The HCF of 48,81,217 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 48/581, 81/400, 217/401?
Answer: GCF of Numerators as per given numbers 48/581, 81/400, 217/401 is
GCF of Numerators i.e. for 48,81,217 is 1
LCM of denominators i.e. for 581,400,401 is 93192400.
Thus, GCF of Fractions is 1/93192400.Finally, GCF of Fractions for 48/581, 81/400, 217/401 is 1/93192400.