Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3179/90,5602/419
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 3179,5602
Greatest Common Factor of Numerators i.e. GCF of 3179,5602 is 1 .
LCM of Denominators means LCM of 90,419 as per the given fractions.
LCM of 90,419 is 37710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3179,5602
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3179
List of positive integer factors of 3179 that divides 3179 without a remainder.
1,11,17,187,289,3179
Factors of 5602
List of positive integer factors of 5602 that divides 5602 without a remainder.
1,2,2801,5602
Greatest Common Factor
We found the factors 3179,5602 . The biggest common factor number is the GCF number.
So the greatest common factor 3179,5602 is 1.
Lets's calculate LCM of 90,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 37710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37710
Therefore, the GCF of Fractions 3179/90,5602/419 is 1/37710
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 90,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,419) x common factors =1 x 1 = 1
LCM(90,419) = ( 90 × 419 ) / 1
LCM(90,419) = 37710 / 1
LCM(90,419) = 37710
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 3179/90, 5602/419?
Answer: GCF of Numerators as per given numbers 3179/90, 5602/419 is
GCF of Numerators i.e. for 3179,5602 is 1
LCM of denominators i.e. for 90,419 is 37710.
Thus, GCF of Fractions is 1/37710.Finally, GCF of Fractions for 3179/90, 5602/419 is 1/37710.