Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 279/4321,503/5917
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 279,503
Greatest Common Factor of Numerators i.e. GCF of 279,503 is 1 .
LCM of Denominators means LCM of 4321,5917 as per the given fractions.
LCM of 4321,5917 is 25567357 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 279,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Greatest Common Factor
We found the factors 279,503 . The biggest common factor number is the GCF number.
So the greatest common factor 279,503 is 1.
Lets's calculate LCM of 4321,5917
Given numbers has no common factors except 1. So, there LCM is their product i.e 25567357
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25567357
Therefore, the GCF of Fractions 279/4321,503/5917 is 1/25567357
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 4321,5917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4321,5917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4321,5917) x common factors =1 x 1 = 1
LCM(4321,5917) = ( 4321 × 5917 ) / 1
LCM(4321,5917) = 25567357 / 1
LCM(4321,5917) = 25567357
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 279/4321, 503/5917?
Answer: GCF of Numerators as per given numbers 279/4321, 503/5917 is
GCF of Numerators i.e. for 279,503 is 1
LCM of denominators i.e. for 4321,5917 is 25567357.
Thus, GCF of Fractions is 1/25567357.Finally, GCF of Fractions for 279/4321, 503/5917 is 1/25567357.