Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5666/494,2035/119
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 5666,2035
Greatest Common Factor of Numerators i.e. GCF of 5666,2035 is 1 .
LCM of Denominators means LCM of 494,119 as per the given fractions.
LCM of 494,119 is 58786 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5666,2035
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5666
List of positive integer factors of 5666 that divides 5666 without a remainder.
1,2,2833,5666
Factors of 2035
List of positive integer factors of 2035 that divides 2035 without a remainder.
1,5,11,37,55,185,407,2035
Greatest Common Factor
We found the factors 5666,2035 . The biggest common factor number is the GCF number.
So the greatest common factor 5666,2035 is 1.
Lets's calculate LCM of 494,119
Given numbers has no common factors except 1. So, there LCM is their product i.e 58786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58786
Therefore, the GCF of Fractions 5666/494,2035/119 is 1/58786
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 494,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(494,119) x common factors =1 x 1 = 1
LCM(494,119) = ( 494 × 119 ) / 1
LCM(494,119) = 58786 / 1
LCM(494,119) = 58786
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 5666/494, 2035/119?
Answer: GCF of Numerators as per given numbers 5666/494, 2035/119 is
GCF of Numerators i.e. for 5666,2035 is 1
LCM of denominators i.e. for 494,119 is 58786.
Thus, GCF of Fractions is 1/58786.Finally, GCF of Fractions for 5666/494, 2035/119 is 1/58786.