Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2187/239,8192/2162
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 2187,8192
Greatest Common Factor of Numerators i.e. GCF of 2187,8192 is 1 .
LCM of Denominators means LCM of 239,2162 as per the given fractions.
LCM of 239,2162 is 516718 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2187,8192
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2187
List of positive integer factors of 2187 that divides 2187 without a remainder.
1,3,9,27,81,243,729,2187
Factors of 8192
List of positive integer factors of 8192 that divides 8192 without a remainder.
1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192
Greatest Common Factor
We found the factors 2187,8192 . The biggest common factor number is the GCF number.
So the greatest common factor 2187,8192 is 1.
Lets's calculate LCM of 239,2162
Given numbers has no common factors except 1. So, there LCM is their product i.e 516718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516718
Therefore, the GCF of Fractions 2187/239,8192/2162 is 1/516718
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 239,2162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,2162) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,2162) x common factors =1 x 1 = 1
LCM(239,2162) = ( 239 × 2162 ) / 1
LCM(239,2162) = 516718 / 1
LCM(239,2162) = 516718
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 2187/239, 8192/2162?
Answer: GCF of Numerators as per given numbers 2187/239, 8192/2162 is
GCF of Numerators i.e. for 2187,8192 is 1
LCM of denominators i.e. for 239,2162 is 516718.
Thus, GCF of Fractions is 1/516718.Finally, GCF of Fractions for 2187/239, 8192/2162 is 1/516718.