Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4682/689,6187/3030
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 4682,6187
Greatest Common Factor of Numerators i.e. GCF of 4682,6187 is 1 .
LCM of Denominators means LCM of 689,3030 as per the given fractions.
LCM of 689,3030 is 2087670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4682,6187
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4682
List of positive integer factors of 4682 that divides 4682 without a remainder.
1,2,2341,4682
Factors of 6187
List of positive integer factors of 6187 that divides 6187 without a remainder.
1,23,269,6187
Greatest Common Factor
We found the factors 4682,6187 . The biggest common factor number is the GCF number.
So the greatest common factor 4682,6187 is 1.
Lets's calculate LCM of 689,3030
Given numbers has no common factors except 1. So, there LCM is their product i.e 2087670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2087670
Therefore, the GCF of Fractions 4682/689,6187/3030 is 1/2087670
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 689,3030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,3030) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,3030) x common factors =1 x 1 = 1
LCM(689,3030) = ( 689 × 3030 ) / 1
LCM(689,3030) = 2087670 / 1
LCM(689,3030) = 2087670
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 4682/689, 6187/3030?
Answer: GCF of Numerators as per given numbers 4682/689, 6187/3030 is
GCF of Numerators i.e. for 4682,6187 is 1
LCM of denominators i.e. for 689,3030 is 2087670.
Thus, GCF of Fractions is 1/2087670.Finally, GCF of Fractions for 4682/689, 6187/3030 is 1/2087670.