Use our free GCF of Fractions Calculator tool to compute the GCF of 216/506, 221/293 i.e 1/148258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 216/506, 221/293.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 216/506,221/293
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 216/506,221/293, numerators are 216,221
Denominators are 506,293
The GCF of 216,221 is 1 .
LCM of 506,293 is 148258.
The greatest common factor of 216/506,221/293 = [GCF of 216,221]/[LCM of 506,293]= 1/148258
Therefore, the GCF of 216/506,221/293 is 1/148258.
To find the highest common factor of 216,221, we have to find the factors of both numbers and list the highest common factor.
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The factors of 221 are 1, 13, 17, 221
The HCF of 216,221 is 1.
Lets's calculate GCF of 216,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Now, list down the factors of 221
:1,13,17,221
Greatest Common Factor
We found the factors 216,221 . The biggest common factor number is the GCF number.
So the greatest common factor 216,221 is 1.
Lets's calculate LCM of 506,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 148258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148258
Therefore, the GCF of Fractions 216/506,221/293 is 1/148258
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 506,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,293) x common factors =1 x 1 = 1
LCM(506,293) = ( 506 × 293 ) / 1
LCM(506,293) = 148258 / 1
LCM(506,293) = 148258
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 216,221?
The HCF of 216,221 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 216/506, 221/293?
Answer: GCF of Numerators as per given numbers 216/506, 221/293 is
GCF of Numerators i.e. for 216,221 is 1
LCM of denominators i.e. for 506,293 is 148258.
Thus, GCF of Fractions is 1/148258.Finally, GCF of Fractions for 216/506, 221/293 is 1/148258.