Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 271/843,617/451,409/578
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 271,617,409
Greatest Common Factor of Numerators i.e. GCF of 271,617,409 is 1 .
LCM of Denominators means LCM of 843,451,578 as per the given fractions.
LCM of 843,451,578 is 219751554 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 271,617,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Greatest Common Factor
We found the factors 271,617,409 . The biggest common factor number is the GCF number.
So the greatest common factor 271,617,409 is 1.
Lets's calculate LCM of 843,451,578
Given numbers has no common factors except 1. So, there LCM is their product i.e 219751554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219751554
Therefore, the GCF of Fractions 271/843,617/451,409/578 is 1/219751554
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 843,451,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,451,578) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(843,451,578) x common factors =1 x 1 = 1
LCM(843,451,578) = ( 843 × 451 × 578 ) / 1
LCM(843,451,578) = 219751554 / 1
LCM(843,451,578) = 219751554
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 271/843, 617/451, 409/578?
Answer: GCF of Numerators as per given numbers 271/843, 617/451, 409/578 is
GCF of Numerators i.e. for 271,617,409 is 1
LCM of denominators i.e. for 843,451,578 is 219751554.
Thus, GCF of Fractions is 1/219751554.Finally, GCF of Fractions for 271/843, 617/451, 409/578 is 1/219751554.