Use our free GCF of Fractions Calculator tool to compute the GCF of 973/234, 216/303 i.e 1/23634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 973/234, 216/303.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 973/234,216/303
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 973/234,216/303, numerators are 973,216
Denominators are 234,303
The GCF of 973,216 is 1 .
LCM of 234,303 is 23634.
The greatest common factor of 973/234,216/303 = [GCF of 973,216]/[LCM of 234,303]= 1/23634
Therefore, the GCF of 973/234,216/303 is 1/23634.
To find the highest common factor of 973,216, we have to find the factors of both numbers and list the highest common factor.
The factors of 973 are 1, 7, 139, 973
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The HCF of 973,216 is 1.
Lets's calculate GCF of 973,216
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 973
:1,7,139,973
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Greatest Common Factor
We found the factors 973,216 . The biggest common factor number is the GCF number.
So the greatest common factor 973,216 is 1.
Lets's calculate LCM of 234,303
3 | 234, 303 |
78, 101 |
∴ So the LCM of the given numbers is 3 x 78 x 101 = 23634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23634
Therefore, the GCF of Fractions 973/234,216/303 is 1/23634
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 234,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,303) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(234,303) x common factors =3 x 1 = 3
LCM(234,303) = ( 234 × 303 ) / 3
LCM(234,303) = 70902 / 3
LCM(234,303) = 23634
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 973,216?
The HCF of 973,216 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 973/234, 216/303?
Answer: GCF of Numerators as per given numbers 973/234, 216/303 is
GCF of Numerators i.e. for 973,216 is 1
LCM of denominators i.e. for 234,303 is 23634.
Thus, GCF of Fractions is 1/23634.Finally, GCF of Fractions for 973/234, 216/303 is 1/23634.