Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2193/947,3356/218
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 2193,3356
Greatest Common Factor of Numerators i.e. GCF of 2193,3356 is 1 .
LCM of Denominators means LCM of 947,218 as per the given fractions.
LCM of 947,218 is 206446 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2193,3356
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2193
List of positive integer factors of 2193 that divides 2193 without a remainder.
1,3,17,43,51,129,731,2193
Factors of 3356
List of positive integer factors of 3356 that divides 3356 without a remainder.
1,2,4,839,1678,3356
Greatest Common Factor
We found the factors 2193,3356 . The biggest common factor number is the GCF number.
So the greatest common factor 2193,3356 is 1.
Lets's calculate LCM of 947,218
Given numbers has no common factors except 1. So, there LCM is their product i.e 206446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206446
Therefore, the GCF of Fractions 2193/947,3356/218 is 1/206446
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 947,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(947,218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(947,218) x common factors =1 x 1 = 1
LCM(947,218) = ( 947 × 218 ) / 1
LCM(947,218) = 206446 / 1
LCM(947,218) = 206446
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 2193/947, 3356/218?
Answer: GCF of Numerators as per given numbers 2193/947, 3356/218 is
GCF of Numerators i.e. for 2193,3356 is 1
LCM of denominators i.e. for 947,218 is 206446.
Thus, GCF of Fractions is 1/206446.Finally, GCF of Fractions for 2193/947, 3356/218 is 1/206446.