Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5373/109,5317/3399
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 5373,5317
Greatest Common Factor of Numerators i.e. GCF of 5373,5317 is 1 .
LCM of Denominators means LCM of 109,3399 as per the given fractions.
LCM of 109,3399 is 370491 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5373,5317
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5373
List of positive integer factors of 5373 that divides 5373 without a remainder.
1,3,9,27,199,597,1791,5373
Factors of 5317
List of positive integer factors of 5317 that divides 5317 without a remainder.
1,13,409,5317
Greatest Common Factor
We found the factors 5373,5317 . The biggest common factor number is the GCF number.
So the greatest common factor 5373,5317 is 1.
Lets's calculate LCM of 109,3399
Given numbers has no common factors except 1. So, there LCM is their product i.e 370491
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370491
Therefore, the GCF of Fractions 5373/109,5317/3399 is 1/370491
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 109,3399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,3399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,3399) x common factors =1 x 1 = 1
LCM(109,3399) = ( 109 × 3399 ) / 1
LCM(109,3399) = 370491 / 1
LCM(109,3399) = 370491
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 5373/109, 5317/3399?
Answer: GCF of Numerators as per given numbers 5373/109, 5317/3399 is
GCF of Numerators i.e. for 5373,5317 is 1
LCM of denominators i.e. for 109,3399 is 370491.
Thus, GCF of Fractions is 1/370491.Finally, GCF of Fractions for 5373/109, 5317/3399 is 1/370491.