Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 827/453,622/739,618/199
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 827,622,618
Greatest Common Factor of Numerators i.e. GCF of 827,622,618 is 1 .
LCM of Denominators means LCM of 453,739,199 as per the given fractions.
LCM of 453,739,199 is 66618633 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 827,622,618
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 827,622,618 . The biggest common factor number is the GCF number.
So the greatest common factor 827,622,618 is 1.
Lets's calculate LCM of 453,739,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 66618633
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66618633
Therefore, the GCF of Fractions 827/453,622/739,618/199 is 1/66618633
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 453,739,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,739,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(453,739,199) x common factors =1 x 1 = 1
LCM(453,739,199) = ( 453 × 739 × 199 ) / 1
LCM(453,739,199) = 66618633 / 1
LCM(453,739,199) = 66618633
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 827/453, 622/739, 618/199?
Answer: GCF of Numerators as per given numbers 827/453, 622/739, 618/199 is
GCF of Numerators i.e. for 827,622,618 is 1
LCM of denominators i.e. for 453,739,199 is 66618633.
Thus, GCF of Fractions is 1/66618633.Finally, GCF of Fractions for 827/453, 622/739, 618/199 is 1/66618633.