Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3197/470,1279/965
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 3197,1279
Greatest Common Factor of Numerators i.e. GCF of 3197,1279 is 1 .
LCM of Denominators means LCM of 470,965 as per the given fractions.
LCM of 470,965 is 90710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3197,1279
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3197
List of positive integer factors of 3197 that divides 3197 without a remainder.
1,23,139,3197
Factors of 1279
List of positive integer factors of 1279 that divides 1279 without a remainder.
1,1279
Greatest Common Factor
We found the factors 3197,1279 . The biggest common factor number is the GCF number.
So the greatest common factor 3197,1279 is 1.
Lets's calculate LCM of 470,965
5 | 470, 965 |
94, 193 |
∴ So the LCM of the given numbers is 5 x 94 x 193 = 90710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90710
Therefore, the GCF of Fractions 3197/470,1279/965 is 1/90710
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 470,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,965) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(470,965) x common factors =5 x 1 = 5
LCM(470,965) = ( 470 × 965 ) / 5
LCM(470,965) = 453550 / 5
LCM(470,965) = 90710
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 3197/470, 1279/965?
Answer: GCF of Numerators as per given numbers 3197/470, 1279/965 is
GCF of Numerators i.e. for 3197,1279 is 1
LCM of denominators i.e. for 470,965 is 90710.
Thus, GCF of Fractions is 1/90710.Finally, GCF of Fractions for 3197/470, 1279/965 is 1/90710.