Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 481/61,294/30,158/579
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 481,294,158
Greatest Common Factor of Numerators i.e. GCF of 481,294,158 is 1 .
LCM of Denominators means LCM of 61,30,579 as per the given fractions.
LCM of 61,30,579 is 353190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 481,294,158
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 481,294,158 . The biggest common factor number is the GCF number.
So the greatest common factor 481,294,158 is 1.
Lets's calculate LCM of 61,30,579
3 | 61, 30, 579 |
61, 10, 193 |
∴ So the LCM of the given numbers is 3 x 61 x 10 x 193 = 353190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353190
Therefore, the GCF of Fractions 481/61,294/30,158/579 is 1/353190
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 61,30,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,30,579) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(61,30,579) x common factors =1 x 3 = 3
LCM(61,30,579) = ( 61 × 30 × 579 ) / 3
LCM(61,30,579) = 1059570 / 3
LCM(61,30,579) = 353190
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 481/61, 294/30, 158/579?
Answer: GCF of Numerators as per given numbers 481/61, 294/30, 158/579 is
GCF of Numerators i.e. for 481,294,158 is 1
LCM of denominators i.e. for 61,30,579 is 353190.
Thus, GCF of Fractions is 1/353190.Finally, GCF of Fractions for 481/61, 294/30, 158/579 is 1/353190.