Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8163/72,3267/378
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 8163,3267
Greatest Common Factor of Numerators i.e. GCF of 8163,3267 is 9 .
LCM of Denominators means LCM of 72,378 as per the given fractions.
LCM of 72,378 is 1512 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8163,3267
3 | 8163, 3267 |
3 | 2721, 1089 |
907, 363 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 8163
List of positive integer factors of 8163 that divides 8163 without a remainder.
1,3,9,907,2721,8163
Factors of 3267
List of positive integer factors of 3267 that divides 3267 without a remainder.
1,3,9,11,27,33,99,121,297,363,1089,3267
Greatest Common Factor
We found the factors 8163,3267 . The biggest common factor number is the GCF number.
So the greatest common factor 8163,3267 is 9.
Lets's calculate LCM of 72,378
2 | 72, 378 |
3 | 36, 189 |
3 | 12, 63 |
4, 21 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 21 = 1512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1512
Therefore, the GCF of Fractions 8163/72,3267/378 is 9/1512
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 72,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,378) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(72,378) x common factors =18 x 1 = 18
LCM(72,378) = ( 72 × 378 ) / 18
LCM(72,378) = 27216 / 18
LCM(72,378) = 1512
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 8163/72, 3267/378?
Answer: GCF of Numerators as per given numbers 8163/72, 3267/378 is
GCF of Numerators i.e. for 8163,3267 is 9
LCM of denominators i.e. for 72,378 is 1512.
Thus, GCF of Fractions is 9/1512.Finally, GCF of Fractions for 8163/72, 3267/378 is 9/1512.