Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2791/227,5301/636
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 2791,5301
Greatest Common Factor of Numerators i.e. GCF of 2791,5301 is 1 .
LCM of Denominators means LCM of 227,636 as per the given fractions.
LCM of 227,636 is 144372 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2791,5301
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2791
List of positive integer factors of 2791 that divides 2791 without a remainder.
1,2791
Factors of 5301
List of positive integer factors of 5301 that divides 5301 without a remainder.
1,3,9,19,31,57,93,171,279,589,1767,5301
Greatest Common Factor
We found the factors 2791,5301 . The biggest common factor number is the GCF number.
So the greatest common factor 2791,5301 is 1.
Lets's calculate LCM of 227,636
Given numbers has no common factors except 1. So, there LCM is their product i.e 144372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144372
Therefore, the GCF of Fractions 2791/227,5301/636 is 1/144372
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 227,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,636) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,636) x common factors =1 x 1 = 1
LCM(227,636) = ( 227 × 636 ) / 1
LCM(227,636) = 144372 / 1
LCM(227,636) = 144372
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 2791/227, 5301/636?
Answer: GCF of Numerators as per given numbers 2791/227, 5301/636 is
GCF of Numerators i.e. for 2791,5301 is 1
LCM of denominators i.e. for 227,636 is 144372.
Thus, GCF of Fractions is 1/144372.Finally, GCF of Fractions for 2791/227, 5301/636 is 1/144372.