Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2981/106,4406/9253
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 2981,4406
Greatest Common Factor of Numerators i.e. GCF of 2981,4406 is 1 .
LCM of Denominators means LCM of 106,9253 as per the given fractions.
LCM of 106,9253 is 980818 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2981,4406
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2981
List of positive integer factors of 2981 that divides 2981 without a remainder.
1,11,271,2981
Factors of 4406
List of positive integer factors of 4406 that divides 4406 without a remainder.
1,2,2203,4406
Greatest Common Factor
We found the factors 2981,4406 . The biggest common factor number is the GCF number.
So the greatest common factor 2981,4406 is 1.
Lets's calculate LCM of 106,9253
Given numbers has no common factors except 1. So, there LCM is their product i.e 980818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/980818
Therefore, the GCF of Fractions 2981/106,4406/9253 is 1/980818
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 106,9253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,9253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,9253) x common factors =1 x 1 = 1
LCM(106,9253) = ( 106 × 9253 ) / 1
LCM(106,9253) = 980818 / 1
LCM(106,9253) = 980818
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 2981/106, 4406/9253?
Answer: GCF of Numerators as per given numbers 2981/106, 4406/9253 is
GCF of Numerators i.e. for 2981,4406 is 1
LCM of denominators i.e. for 106,9253 is 980818.
Thus, GCF of Fractions is 1/980818.Finally, GCF of Fractions for 2981/106, 4406/9253 is 1/980818.