Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7418/40,2583/419
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 7418,2583
Greatest Common Factor of Numerators i.e. GCF of 7418,2583 is 1 .
LCM of Denominators means LCM of 40,419 as per the given fractions.
LCM of 40,419 is 16760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7418,2583
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7418
List of positive integer factors of 7418 that divides 7418 without a remainder.
1,2,3709,7418
Factors of 2583
List of positive integer factors of 2583 that divides 2583 without a remainder.
1,3,7,9,21,41,63,123,287,369,861,2583
Greatest Common Factor
We found the factors 7418,2583 . The biggest common factor number is the GCF number.
So the greatest common factor 7418,2583 is 1.
Lets's calculate LCM of 40,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 16760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16760
Therefore, the GCF of Fractions 7418/40,2583/419 is 1/16760
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 40,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,419) x common factors =1 x 1 = 1
LCM(40,419) = ( 40 × 419 ) / 1
LCM(40,419) = 16760 / 1
LCM(40,419) = 16760
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 7418/40, 2583/419?
Answer: GCF of Numerators as per given numbers 7418/40, 2583/419 is
GCF of Numerators i.e. for 7418,2583 is 1
LCM of denominators i.e. for 40,419 is 16760.
Thus, GCF of Fractions is 1/16760.Finally, GCF of Fractions for 7418/40, 2583/419 is 1/16760.