Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2990/83,8921/218
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 2990,8921
Greatest Common Factor of Numerators i.e. GCF of 2990,8921 is 1 .
LCM of Denominators means LCM of 83,218 as per the given fractions.
LCM of 83,218 is 18094 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2990,8921
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2990
List of positive integer factors of 2990 that divides 2990 without a remainder.
1,2,5,10,13,23,26,46,65,115,130,230,299,598,1495,2990
Factors of 8921
List of positive integer factors of 8921 that divides 8921 without a remainder.
1,11,811,8921
Greatest Common Factor
We found the factors 2990,8921 . The biggest common factor number is the GCF number.
So the greatest common factor 2990,8921 is 1.
Lets's calculate LCM of 83,218
Given numbers has no common factors except 1. So, there LCM is their product i.e 18094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18094
Therefore, the GCF of Fractions 2990/83,8921/218 is 1/18094
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 83,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,218) x common factors =1 x 1 = 1
LCM(83,218) = ( 83 × 218 ) / 1
LCM(83,218) = 18094 / 1
LCM(83,218) = 18094
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 2990/83, 8921/218?
Answer: GCF of Numerators as per given numbers 2990/83, 8921/218 is
GCF of Numerators i.e. for 2990,8921 is 1
LCM of denominators i.e. for 83,218 is 18094.
Thus, GCF of Fractions is 1/18094.Finally, GCF of Fractions for 2990/83, 8921/218 is 1/18094.