Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6180/553,2141/9454
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 6180,2141
Greatest Common Factor of Numerators i.e. GCF of 6180,2141 is 1 .
LCM of Denominators means LCM of 553,9454 as per the given fractions.
LCM of 553,9454 is 5228062 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6180,2141
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6180
List of positive integer factors of 6180 that divides 6180 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,103,206,309,412,515,618,1030,1236,1545,2060,3090,6180
Factors of 2141
List of positive integer factors of 2141 that divides 2141 without a remainder.
1,2141
Greatest Common Factor
We found the factors 6180,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 6180,2141 is 1.
Lets's calculate LCM of 553,9454
Given numbers has no common factors except 1. So, there LCM is their product i.e 5228062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5228062
Therefore, the GCF of Fractions 6180/553,2141/9454 is 1/5228062
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 553,9454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,9454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,9454) x common factors =1 x 1 = 1
LCM(553,9454) = ( 553 × 9454 ) / 1
LCM(553,9454) = 5228062 / 1
LCM(553,9454) = 5228062
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 6180/553, 2141/9454?
Answer: GCF of Numerators as per given numbers 6180/553, 2141/9454 is
GCF of Numerators i.e. for 6180,2141 is 1
LCM of denominators i.e. for 553,9454 is 5228062.
Thus, GCF of Fractions is 1/5228062.Finally, GCF of Fractions for 6180/553, 2141/9454 is 1/5228062.