Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 666/72,954/8067
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 666,954
Greatest Common Factor of Numerators i.e. GCF of 666,954 is 18 .
LCM of Denominators means LCM of 72,8067 as per the given fractions.
LCM of 72,8067 is 193608 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 666,954
2 | 666, 954 |
3 | 333, 477 |
3 | 111, 159 |
37, 53 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 666,954 . The biggest common factor number is the GCF number.
So the greatest common factor 666,954 is 18.
Lets's calculate LCM of 72,8067
3 | 72, 8067 |
24, 2689 |
∴ So the LCM of the given numbers is 3 x 24 x 2689 = 193608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/193608
Therefore, the GCF of Fractions 666/72,954/8067 is 18/193608
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 72,8067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,8067) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(72,8067) x common factors =3 x 1 = 3
LCM(72,8067) = ( 72 × 8067 ) / 3
LCM(72,8067) = 580824 / 3
LCM(72,8067) = 193608
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 666/72, 954/8067?
Answer: GCF of Numerators as per given numbers 666/72, 954/8067 is
GCF of Numerators i.e. for 666,954 is 18
LCM of denominators i.e. for 72,8067 is 193608.
Thus, GCF of Fractions is 18/193608.Finally, GCF of Fractions for 666/72, 954/8067 is 18/193608.