Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8603/24,2037/667
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 8603,2037
Greatest Common Factor of Numerators i.e. GCF of 8603,2037 is 7 .
LCM of Denominators means LCM of 24,667 as per the given fractions.
LCM of 24,667 is 16008 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8603,2037
7 | 8603, 2037 |
1229, 291 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 8603
List of positive integer factors of 8603 that divides 8603 without a remainder.
1,7,1229,8603
Factors of 2037
List of positive integer factors of 2037 that divides 2037 without a remainder.
1,3,7,21,97,291,679,2037
Greatest Common Factor
We found the factors 8603,2037 . The biggest common factor number is the GCF number.
So the greatest common factor 8603,2037 is 7.
Lets's calculate LCM of 24,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 16008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/16008
Therefore, the GCF of Fractions 8603/24,2037/667 is 7/16008
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 24,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,667) x common factors =1 x 1 = 1
LCM(24,667) = ( 24 × 667 ) / 1
LCM(24,667) = 16008 / 1
LCM(24,667) = 16008
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 8603/24, 2037/667?
Answer: GCF of Numerators as per given numbers 8603/24, 2037/667 is
GCF of Numerators i.e. for 8603,2037 is 7
LCM of denominators i.e. for 24,667 is 16008.
Thus, GCF of Fractions is 7/16008.Finally, GCF of Fractions for 8603/24, 2037/667 is 7/16008.