Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/419,21/6637
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 63,21
Greatest Common Factor of Numerators i.e. GCF of 63,21 is 21 .
LCM of Denominators means LCM of 419,6637 as per the given fractions.
LCM of 419,6637 is 2780903 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,21
3 | 63, 21 |
7 | 21, 7 |
3, 1 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Greatest Common Factor
We found the factors 63,21 . The biggest common factor number is the GCF number.
So the greatest common factor 63,21 is 21.
Lets's calculate LCM of 419,6637
Given numbers has no common factors except 1. So, there LCM is their product i.e 2780903
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/2780903
Therefore, the GCF of Fractions 63/419,21/6637 is 21/2780903
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 419,6637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,6637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,6637) x common factors =1 x 1 = 1
LCM(419,6637) = ( 419 × 6637 ) / 1
LCM(419,6637) = 2780903 / 1
LCM(419,6637) = 2780903
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 63/419, 21/6637?
Answer: GCF of Numerators as per given numbers 63/419, 21/6637 is
GCF of Numerators i.e. for 63,21 is 21
LCM of denominators i.e. for 419,6637 is 2780903.
Thus, GCF of Fractions is 21/2780903.Finally, GCF of Fractions for 63/419, 21/6637 is 21/2780903.