Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3163/84,2315/205
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 3163,2315
Greatest Common Factor of Numerators i.e. GCF of 3163,2315 is 1 .
LCM of Denominators means LCM of 84,205 as per the given fractions.
LCM of 84,205 is 17220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3163,2315
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3163
List of positive integer factors of 3163 that divides 3163 without a remainder.
1,3163
Factors of 2315
List of positive integer factors of 2315 that divides 2315 without a remainder.
1,5,463,2315
Greatest Common Factor
We found the factors 3163,2315 . The biggest common factor number is the GCF number.
So the greatest common factor 3163,2315 is 1.
Lets's calculate LCM of 84,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 17220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17220
Therefore, the GCF of Fractions 3163/84,2315/205 is 1/17220
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 84,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,205) x common factors =1 x 1 = 1
LCM(84,205) = ( 84 × 205 ) / 1
LCM(84,205) = 17220 / 1
LCM(84,205) = 17220
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 3163/84, 2315/205?
Answer: GCF of Numerators as per given numbers 3163/84, 2315/205 is
GCF of Numerators i.e. for 3163,2315 is 1
LCM of denominators i.e. for 84,205 is 17220.
Thus, GCF of Fractions is 1/17220.Finally, GCF of Fractions for 3163/84, 2315/205 is 1/17220.