Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 817/289,704/618
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 817,704
Greatest Common Factor of Numerators i.e. GCF of 817,704 is 1 .
LCM of Denominators means LCM of 289,618 as per the given fractions.
LCM of 289,618 is 178602 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 817,704
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 817,704 . The biggest common factor number is the GCF number.
So the greatest common factor 817,704 is 1.
Lets's calculate LCM of 289,618
Given numbers has no common factors except 1. So, there LCM is their product i.e 178602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178602
Therefore, the GCF of Fractions 817/289,704/618 is 1/178602
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 289,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,618) x common factors =1 x 1 = 1
LCM(289,618) = ( 289 × 618 ) / 1
LCM(289,618) = 178602 / 1
LCM(289,618) = 178602
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 817/289, 704/618?
Answer: GCF of Numerators as per given numbers 817/289, 704/618 is
GCF of Numerators i.e. for 817,704 is 1
LCM of denominators i.e. for 289,618 is 178602.
Thus, GCF of Fractions is 1/178602.Finally, GCF of Fractions for 817/289, 704/618 is 1/178602.