Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 603/18,153/497
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 603,153
Greatest Common Factor of Numerators i.e. GCF of 603,153 is 9 .
LCM of Denominators means LCM of 18,497 as per the given fractions.
LCM of 18,497 is 8946 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 603,153
3 | 603, 153 |
3 | 201, 51 |
67, 17 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Greatest Common Factor
We found the factors 603,153 . The biggest common factor number is the GCF number.
So the greatest common factor 603,153 is 9.
Lets's calculate LCM of 18,497
Given numbers has no common factors except 1. So, there LCM is their product i.e 8946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/8946
Therefore, the GCF of Fractions 603/18,153/497 is 9/8946
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 18,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,497) x common factors =1 x 1 = 1
LCM(18,497) = ( 18 × 497 ) / 1
LCM(18,497) = 8946 / 1
LCM(18,497) = 8946
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 603/18, 153/497?
Answer: GCF of Numerators as per given numbers 603/18, 153/497 is
GCF of Numerators i.e. for 603,153 is 9
LCM of denominators i.e. for 18,497 is 8946.
Thus, GCF of Fractions is 9/8946.Finally, GCF of Fractions for 603/18, 153/497 is 9/8946.