Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2034/621,5615/4580
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 2034,5615
Greatest Common Factor of Numerators i.e. GCF of 2034,5615 is 1 .
LCM of Denominators means LCM of 621,4580 as per the given fractions.
LCM of 621,4580 is 2844180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2034,5615
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2034
List of positive integer factors of 2034 that divides 2034 without a remainder.
1,2,3,6,9,18,113,226,339,678,1017,2034
Factors of 5615
List of positive integer factors of 5615 that divides 5615 without a remainder.
1,5,1123,5615
Greatest Common Factor
We found the factors 2034,5615 . The biggest common factor number is the GCF number.
So the greatest common factor 2034,5615 is 1.
Lets's calculate LCM of 621,4580
Given numbers has no common factors except 1. So, there LCM is their product i.e 2844180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2844180
Therefore, the GCF of Fractions 2034/621,5615/4580 is 1/2844180
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 621,4580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,4580) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,4580) x common factors =1 x 1 = 1
LCM(621,4580) = ( 621 × 4580 ) / 1
LCM(621,4580) = 2844180 / 1
LCM(621,4580) = 2844180
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 2034/621, 5615/4580?
Answer: GCF of Numerators as per given numbers 2034/621, 5615/4580 is
GCF of Numerators i.e. for 2034,5615 is 1
LCM of denominators i.e. for 621,4580 is 2844180.
Thus, GCF of Fractions is 1/2844180.Finally, GCF of Fractions for 2034/621, 5615/4580 is 1/2844180.