Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4605/37,2239/727
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 4605,2239
Greatest Common Factor of Numerators i.e. GCF of 4605,2239 is 1 .
LCM of Denominators means LCM of 37,727 as per the given fractions.
LCM of 37,727 is 26899 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4605,2239
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4605
List of positive integer factors of 4605 that divides 4605 without a remainder.
1,3,5,15,307,921,1535,4605
Factors of 2239
List of positive integer factors of 2239 that divides 2239 without a remainder.
1,2239
Greatest Common Factor
We found the factors 4605,2239 . The biggest common factor number is the GCF number.
So the greatest common factor 4605,2239 is 1.
Lets's calculate LCM of 37,727
Given numbers has no common factors except 1. So, there LCM is their product i.e 26899
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26899
Therefore, the GCF of Fractions 4605/37,2239/727 is 1/26899
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 37,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,727) x common factors =1 x 1 = 1
LCM(37,727) = ( 37 × 727 ) / 1
LCM(37,727) = 26899 / 1
LCM(37,727) = 26899
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 4605/37, 2239/727?
Answer: GCF of Numerators as per given numbers 4605/37, 2239/727 is
GCF of Numerators i.e. for 4605,2239 is 1
LCM of denominators i.e. for 37,727 is 26899.
Thus, GCF of Fractions is 1/26899.Finally, GCF of Fractions for 4605/37, 2239/727 is 1/26899.