Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 389/57,261/19,550/441
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 389,261,550
Greatest Common Factor of Numerators i.e. GCF of 389,261,550 is 1 .
LCM of Denominators means LCM of 57,19,441 as per the given fractions.
LCM of 57,19,441 is 8379 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 389,261,550
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 389,261,550 . The biggest common factor number is the GCF number.
So the greatest common factor 389,261,550 is 1.
Lets's calculate LCM of 57,19,441
3 | 57, 19, 441 |
19 | 19, 19, 147 |
1, 1, 147 |
∴ So the LCM of the given numbers is 3 x 19 x 1 x 1 x 147 = 8379
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8379
Therefore, the GCF of Fractions 389/57,261/19,550/441 is 1/8379
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 57,19,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,19,441) = 1
common factors(in case of two or more numbers have common factors) = 57
GCF(57,19,441) x common factors =1 x 57 = 57
LCM(57,19,441) = ( 57 × 19 × 441 ) / 57
LCM(57,19,441) = 477603 / 57
LCM(57,19,441) = 8379
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 389/57, 261/19, 550/441?
Answer: GCF of Numerators as per given numbers 389/57, 261/19, 550/441 is
GCF of Numerators i.e. for 389,261,550 is 1
LCM of denominators i.e. for 57,19,441 is 8379.
Thus, GCF of Fractions is 1/8379.Finally, GCF of Fractions for 389/57, 261/19, 550/441 is 1/8379.