Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 475/20,9863/606
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 475,9863
Greatest Common Factor of Numerators i.e. GCF of 475,9863 is 1 .
LCM of Denominators means LCM of 20,606 as per the given fractions.
LCM of 20,606 is 6060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 475,9863
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 9863
List of positive integer factors of 9863 that divides 9863 without a remainder.
1,7,1409,9863
Greatest Common Factor
We found the factors 475,9863 . The biggest common factor number is the GCF number.
So the greatest common factor 475,9863 is 1.
Lets's calculate LCM of 20,606
2 | 20, 606 |
10, 303 |
∴ So the LCM of the given numbers is 2 x 10 x 303 = 6060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6060
Therefore, the GCF of Fractions 475/20,9863/606 is 1/6060
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 20,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,606) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(20,606) x common factors =2 x 1 = 2
LCM(20,606) = ( 20 × 606 ) / 2
LCM(20,606) = 12120 / 2
LCM(20,606) = 6060
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 475/20, 9863/606?
Answer: GCF of Numerators as per given numbers 475/20, 9863/606 is
GCF of Numerators i.e. for 475,9863 is 1
LCM of denominators i.e. for 20,606 is 6060.
Thus, GCF of Fractions is 1/6060.Finally, GCF of Fractions for 475/20, 9863/606 is 1/6060.