Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4217/505,2819/2402
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 4217,2819
Greatest Common Factor of Numerators i.e. GCF of 4217,2819 is 1 .
LCM of Denominators means LCM of 505,2402 as per the given fractions.
LCM of 505,2402 is 1213010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4217,2819
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4217
List of positive integer factors of 4217 that divides 4217 without a remainder.
1,4217
Factors of 2819
List of positive integer factors of 2819 that divides 2819 without a remainder.
1,2819
Greatest Common Factor
We found the factors 4217,2819 . The biggest common factor number is the GCF number.
So the greatest common factor 4217,2819 is 1.
Lets's calculate LCM of 505,2402
Given numbers has no common factors except 1. So, there LCM is their product i.e 1213010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1213010
Therefore, the GCF of Fractions 4217/505,2819/2402 is 1/1213010
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 505,2402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,2402) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(505,2402) x common factors =1 x 1 = 1
LCM(505,2402) = ( 505 × 2402 ) / 1
LCM(505,2402) = 1213010 / 1
LCM(505,2402) = 1213010
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 4217/505, 2819/2402?
Answer: GCF of Numerators as per given numbers 4217/505, 2819/2402 is
GCF of Numerators i.e. for 4217,2819 is 1
LCM of denominators i.e. for 505,2402 is 1213010.
Thus, GCF of Fractions is 1/1213010.Finally, GCF of Fractions for 4217/505, 2819/2402 is 1/1213010.