Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 687/73,821/89,393/27
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 687,821,393
Greatest Common Factor of Numerators i.e. GCF of 687,821,393 is 1 .
LCM of Denominators means LCM of 73,89,27 as per the given fractions.
LCM of 73,89,27 is 175419 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 687,821,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Greatest Common Factor
We found the factors 687,821,393 . The biggest common factor number is the GCF number.
So the greatest common factor 687,821,393 is 1.
Lets's calculate LCM of 73,89,27
Given numbers has no common factors except 1. So, there LCM is their product i.e 175419
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175419
Therefore, the GCF of Fractions 687/73,821/89,393/27 is 1/175419
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 73,89,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,89,27) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,89,27) x common factors =1 x 1 = 1
LCM(73,89,27) = ( 73 × 89 × 27 ) / 1
LCM(73,89,27) = 175419 / 1
LCM(73,89,27) = 175419
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 687/73, 821/89, 393/27?
Answer: GCF of Numerators as per given numbers 687/73, 821/89, 393/27 is
GCF of Numerators i.e. for 687,821,393 is 1
LCM of denominators i.e. for 73,89,27 is 175419.
Thus, GCF of Fractions is 1/175419.Finally, GCF of Fractions for 687/73, 821/89, 393/27 is 1/175419.