Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6217/621,1563/2650
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 6217,1563
Greatest Common Factor of Numerators i.e. GCF of 6217,1563 is 1 .
LCM of Denominators means LCM of 621,2650 as per the given fractions.
LCM of 621,2650 is 1645650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6217,1563
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6217
List of positive integer factors of 6217 that divides 6217 without a remainder.
1,6217
Factors of 1563
List of positive integer factors of 1563 that divides 1563 without a remainder.
1,3,521,1563
Greatest Common Factor
We found the factors 6217,1563 . The biggest common factor number is the GCF number.
So the greatest common factor 6217,1563 is 1.
Lets's calculate LCM of 621,2650
Given numbers has no common factors except 1. So, there LCM is their product i.e 1645650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1645650
Therefore, the GCF of Fractions 6217/621,1563/2650 is 1/1645650
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 621,2650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,2650) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,2650) x common factors =1 x 1 = 1
LCM(621,2650) = ( 621 × 2650 ) / 1
LCM(621,2650) = 1645650 / 1
LCM(621,2650) = 1645650
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 6217/621, 1563/2650?
Answer: GCF of Numerators as per given numbers 6217/621, 1563/2650 is
GCF of Numerators i.e. for 6217,1563 is 1
LCM of denominators i.e. for 621,2650 is 1645650.
Thus, GCF of Fractions is 1/1645650.Finally, GCF of Fractions for 6217/621, 1563/2650 is 1/1645650.