Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 506/19,6268/819
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 506,6268
Greatest Common Factor of Numerators i.e. GCF of 506,6268 is 2 .
LCM of Denominators means LCM of 19,819 as per the given fractions.
LCM of 19,819 is 15561 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 506,6268
2 | 506, 6268 |
253, 3134 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 6268
List of positive integer factors of 6268 that divides 6268 without a remainder.
1,2,4,1567,3134,6268
Greatest Common Factor
We found the factors 506,6268 . The biggest common factor number is the GCF number.
So the greatest common factor 506,6268 is 2.
Lets's calculate LCM of 19,819
Given numbers has no common factors except 1. So, there LCM is their product i.e 15561
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15561
Therefore, the GCF of Fractions 506/19,6268/819 is 2/15561
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 19,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,819) x common factors =1 x 1 = 1
LCM(19,819) = ( 19 × 819 ) / 1
LCM(19,819) = 15561 / 1
LCM(19,819) = 15561
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 506/19, 6268/819?
Answer: GCF of Numerators as per given numbers 506/19, 6268/819 is
GCF of Numerators i.e. for 506,6268 is 2
LCM of denominators i.e. for 19,819 is 15561.
Thus, GCF of Fractions is 2/15561.Finally, GCF of Fractions for 506/19, 6268/819 is 2/15561.