Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2939/499,1047/226
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 2939,1047
Greatest Common Factor of Numerators i.e. GCF of 2939,1047 is 1 .
LCM of Denominators means LCM of 499,226 as per the given fractions.
LCM of 499,226 is 112774 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2939,1047
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2939
List of positive integer factors of 2939 that divides 2939 without a remainder.
1,2939
Factors of 1047
List of positive integer factors of 1047 that divides 1047 without a remainder.
1,3,349,1047
Greatest Common Factor
We found the factors 2939,1047 . The biggest common factor number is the GCF number.
So the greatest common factor 2939,1047 is 1.
Lets's calculate LCM of 499,226
Given numbers has no common factors except 1. So, there LCM is their product i.e 112774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112774
Therefore, the GCF of Fractions 2939/499,1047/226 is 1/112774
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 499,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,226) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,226) x common factors =1 x 1 = 1
LCM(499,226) = ( 499 × 226 ) / 1
LCM(499,226) = 112774 / 1
LCM(499,226) = 112774
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 2939/499, 1047/226?
Answer: GCF of Numerators as per given numbers 2939/499, 1047/226 is
GCF of Numerators i.e. for 2939,1047 is 1
LCM of denominators i.e. for 499,226 is 112774.
Thus, GCF of Fractions is 1/112774.Finally, GCF of Fractions for 2939/499, 1047/226 is 1/112774.