Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 687/541,4397/214
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 687,4397
Greatest Common Factor of Numerators i.e. GCF of 687,4397 is 1 .
LCM of Denominators means LCM of 541,214 as per the given fractions.
LCM of 541,214 is 115774 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 687,4397
∴ 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 4397
List of positive integer factors of 4397 that divides 4397 without a remainder.
1,4397
Greatest Common Factor
We found the factors 687,4397 . The biggest common factor number is the GCF number.
So the greatest common factor 687,4397 is 1.
Lets's calculate LCM of 541,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 115774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115774
Therefore, the GCF of Fractions 687/541,4397/214 is 1/115774
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 541,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(541,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(541,214) x common factors =1 x 1 = 1
LCM(541,214) = ( 541 × 214 ) / 1
LCM(541,214) = 115774 / 1
LCM(541,214) = 115774
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 687/541, 4397/214?
Answer: GCF of Numerators as per given numbers 687/541, 4397/214 is
GCF of Numerators i.e. for 687,4397 is 1
LCM of denominators i.e. for 541,214 is 115774.
Thus, GCF of Fractions is 1/115774.Finally, GCF of Fractions for 687/541, 4397/214 is 1/115774.