Use our free GCF of Fractions Calculator tool to compute the GCF of 243/966, 495/372 i.e 9/59892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 243/966, 495/372.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 243/966,495/372
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 243/966,495/372, numerators are 243,495
Denominators are 966,372
The GCF of 243,495 is 9 .
LCM of 966,372 is 59892.
The greatest common factor of 243/966,495/372 = [GCF of 243,495]/[LCM of 966,372]= 9/59892
Therefore, the GCF of 243/966,495/372 is 9/59892.
To find the highest common factor of 243,495, we have to find the factors of both numbers and list the highest common factor.
The factors of 243 are 1, 3, 9, 27, 81, 243
The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
The HCF of 243,495 is 9.
Lets's calculate GCF of 243,495
3 | 243, 495 |
3 | 81, 165 |
27, 55 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 243
:1,3,9,27,81,243
Now, list down the factors of 495
:1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 243,495 . The biggest common factor number is the GCF number.
So the greatest common factor 243,495 is 9.
Lets's calculate LCM of 966,372
2 | 966, 372 |
3 | 483, 186 |
161, 62 |
∴ So the LCM of the given numbers is 2 x 3 x 161 x 62 = 59892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/59892
Therefore, the GCF of Fractions 243/966,495/372 is 9/59892
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 966,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,372) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(966,372) x common factors =6 x 1 = 6
LCM(966,372) = ( 966 × 372 ) / 6
LCM(966,372) = 359352 / 6
LCM(966,372) = 59892
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 243,495?
The HCF of 243,495 is 9
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 243/966, 495/372?
Answer: GCF of Numerators as per given numbers 243/966, 495/372 is
GCF of Numerators i.e. for 243,495 is 9
LCM of denominators i.e. for 966,372 is 59892.
Thus, GCF of Fractions is 9/59892.Finally, GCF of Fractions for 243/966, 495/372 is 9/59892.