Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 162/431,4675/3196
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 162,4675
Greatest Common Factor of Numerators i.e. GCF of 162,4675 is 1 .
LCM of Denominators means LCM of 431,3196 as per the given fractions.
LCM of 431,3196 is 1377476 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 162,4675
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 4675
List of positive integer factors of 4675 that divides 4675 without a remainder.
1,5,11,17,25,55,85,187,275,425,935,4675
Greatest Common Factor
We found the factors 162,4675 . The biggest common factor number is the GCF number.
So the greatest common factor 162,4675 is 1.
Lets's calculate LCM of 431,3196
Given numbers has no common factors except 1. So, there LCM is their product i.e 1377476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1377476
Therefore, the GCF of Fractions 162/431,4675/3196 is 1/1377476
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 431,3196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,3196) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,3196) x common factors =1 x 1 = 1
LCM(431,3196) = ( 431 × 3196 ) / 1
LCM(431,3196) = 1377476 / 1
LCM(431,3196) = 1377476
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 162/431, 4675/3196?
Answer: GCF of Numerators as per given numbers 162/431, 4675/3196 is
GCF of Numerators i.e. for 162,4675 is 1
LCM of denominators i.e. for 431,3196 is 1377476.
Thus, GCF of Fractions is 1/1377476.Finally, GCF of Fractions for 162/431, 4675/3196 is 1/1377476.