Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 237/40,143/80,411/518
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 237,143,411
Greatest Common Factor of Numerators i.e. GCF of 237,143,411 is 1 .
LCM of Denominators means LCM of 40,80,518 as per the given fractions.
LCM of 40,80,518 is 20720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 237,143,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 237,143,411 . The biggest common factor number is the GCF number.
So the greatest common factor 237,143,411 is 1.
Lets's calculate LCM of 40,80,518
2 | 40, 80, 518 |
2 | 20, 40, 259 |
2 | 10, 20, 259 |
5 | 5, 10, 259 |
1, 2, 259 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 2 x 259 = 20720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20720
Therefore, the GCF of Fractions 237/40,143/80,411/518 is 1/20720
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 40,80,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,80,518) = 2
common factors(in case of two or more numbers have common factors) = 40
GCF(40,80,518) x common factors =2 x 40 = 80
LCM(40,80,518) = ( 40 × 80 × 518 ) / 80
LCM(40,80,518) = 1657600 / 80
LCM(40,80,518) = 20720
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 237/40, 143/80, 411/518?
Answer: GCF of Numerators as per given numbers 237/40, 143/80, 411/518 is
GCF of Numerators i.e. for 237,143,411 is 1
LCM of denominators i.e. for 40,80,518 is 20720.
Thus, GCF of Fractions is 1/20720.Finally, GCF of Fractions for 237/40, 143/80, 411/518 is 1/20720.