Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 72/21,120/81,411/454
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 72,120,411
Greatest Common Factor of Numerators i.e. GCF of 72,120,411 is 3 .
LCM of Denominators means LCM of 21,81,454 as per the given fractions.
LCM of 21,81,454 is 257418 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 72,120,411
3 | 72, 120, 411 |
24, 40, 137 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
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 72,120,411 . The biggest common factor number is the GCF number.
So the greatest common factor 72,120,411 is 3.
Lets's calculate LCM of 21,81,454
3 | 21, 81, 454 |
7, 27, 454 |
∴ So the LCM of the given numbers is 3 x 7 x 27 x 454 = 257418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/257418
Therefore, the GCF of Fractions 72/21,120/81,411/454 is 3/257418
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 21,81,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,81,454) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(21,81,454) x common factors =1 x 3 = 3
LCM(21,81,454) = ( 21 × 81 × 454 ) / 3
LCM(21,81,454) = 772254 / 3
LCM(21,81,454) = 257418
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 72/21, 120/81, 411/454?
Answer: GCF of Numerators as per given numbers 72/21, 120/81, 411/454 is
GCF of Numerators i.e. for 72,120,411 is 3
LCM of denominators i.e. for 21,81,454 is 257418.
Thus, GCF of Fractions is 3/257418.Finally, GCF of Fractions for 72/21, 120/81, 411/454 is 3/257418.