Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3494/18,5989/817
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 3494,5989
Greatest Common Factor of Numerators i.e. GCF of 3494,5989 is 1 .
LCM of Denominators means LCM of 18,817 as per the given fractions.
LCM of 18,817 is 14706 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3494,5989
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3494
List of positive integer factors of 3494 that divides 3494 without a remainder.
1,2,1747,3494
Factors of 5989
List of positive integer factors of 5989 that divides 5989 without a remainder.
1,53,113,5989
Greatest Common Factor
We found the factors 3494,5989 . The biggest common factor number is the GCF number.
So the greatest common factor 3494,5989 is 1.
Lets's calculate LCM of 18,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 14706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14706
Therefore, the GCF of Fractions 3494/18,5989/817 is 1/14706
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 18,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,817) x common factors =1 x 1 = 1
LCM(18,817) = ( 18 × 817 ) / 1
LCM(18,817) = 14706 / 1
LCM(18,817) = 14706
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 3494/18, 5989/817?
Answer: GCF of Numerators as per given numbers 3494/18, 5989/817 is
GCF of Numerators i.e. for 3494,5989 is 1
LCM of denominators i.e. for 18,817 is 14706.
Thus, GCF of Fractions is 1/14706.Finally, GCF of Fractions for 3494/18, 5989/817 is 1/14706.