Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 206/475,302/746,811/955
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 206,302,811
Greatest Common Factor of Numerators i.e. GCF of 206,302,811 is 1 .
LCM of Denominators means LCM of 475,746,955 as per the given fractions.
LCM of 475,746,955 is 67680850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 206,302,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 206,302,811 . The biggest common factor number is the GCF number.
So the greatest common factor 206,302,811 is 1.
Lets's calculate LCM of 475,746,955
5 | 475, 746, 955 |
95, 746, 191 |
∴ So the LCM of the given numbers is 5 x 95 x 746 x 191 = 67680850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67680850
Therefore, the GCF of Fractions 206/475,302/746,811/955 is 1/67680850
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 475,746,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,746,955) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(475,746,955) x common factors =1 x 5 = 5
LCM(475,746,955) = ( 475 × 746 × 955 ) / 5
LCM(475,746,955) = 338404250 / 5
LCM(475,746,955) = 67680850
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 206/475, 302/746, 811/955?
Answer: GCF of Numerators as per given numbers 206/475, 302/746, 811/955 is
GCF of Numerators i.e. for 206,302,811 is 1
LCM of denominators i.e. for 475,746,955 is 67680850.
Thus, GCF of Fractions is 1/67680850.Finally, GCF of Fractions for 206/475, 302/746, 811/955 is 1/67680850.