Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 356/66,181/69,905/27
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 356,181,905
Greatest Common Factor of Numerators i.e. GCF of 356,181,905 is 1 .
LCM of Denominators means LCM of 66,69,27 as per the given fractions.
LCM of 66,69,27 is 13662 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 356,181,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Greatest Common Factor
We found the factors 356,181,905 . The biggest common factor number is the GCF number.
So the greatest common factor 356,181,905 is 1.
Lets's calculate LCM of 66,69,27
3 | 66, 69, 27 |
22, 23, 9 |
∴ So the LCM of the given numbers is 3 x 22 x 23 x 9 = 13662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13662
Therefore, the GCF of Fractions 356/66,181/69,905/27 is 1/13662
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 66,69,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,69,27) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(66,69,27) x common factors =3 x 3 = 9
LCM(66,69,27) = ( 66 × 69 × 27 ) / 9
LCM(66,69,27) = 122958 / 9
LCM(66,69,27) = 13662
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 356/66, 181/69, 905/27?
Answer: GCF of Numerators as per given numbers 356/66, 181/69, 905/27 is
GCF of Numerators i.e. for 356,181,905 is 1
LCM of denominators i.e. for 66,69,27 is 13662.
Thus, GCF of Fractions is 1/13662.Finally, GCF of Fractions for 356/66, 181/69, 905/27 is 1/13662.