Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/88,90/450,860/243
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 27,90,860
Greatest Common Factor of Numerators i.e. GCF of 27,90,860 is 1 .
LCM of Denominators means LCM of 88,450,243 as per the given fractions.
LCM of 88,450,243 is 534600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,90,860
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 27,90,860 . The biggest common factor number is the GCF number.
So the greatest common factor 27,90,860 is 1.
Lets's calculate LCM of 88,450,243
2 | 88, 450, 243 |
3 | 44, 225, 243 |
3 | 44, 75, 81 |
44, 25, 27 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 44 x 25 x 27 = 534600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/534600
Therefore, the GCF of Fractions 27/88,90/450,860/243 is 1/534600
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 88,450,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,450,243) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(88,450,243) x common factors =1 x 18 = 18
LCM(88,450,243) = ( 88 × 450 × 243 ) / 18
LCM(88,450,243) = 9622800 / 18
LCM(88,450,243) = 534600
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 27/88, 90/450, 860/243?
Answer: GCF of Numerators as per given numbers 27/88, 90/450, 860/243 is
GCF of Numerators i.e. for 27,90,860 is 1
LCM of denominators i.e. for 88,450,243 is 534600.
Thus, GCF of Fractions is 1/534600.Finally, GCF of Fractions for 27/88, 90/450, 860/243 is 1/534600.