Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 388/767,8161/183
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 388,8161
Greatest Common Factor of Numerators i.e. GCF of 388,8161 is 1 .
LCM of Denominators means LCM of 767,183 as per the given fractions.
LCM of 767,183 is 140361 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 388,8161
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 8161
List of positive integer factors of 8161 that divides 8161 without a remainder.
1,8161
Greatest Common Factor
We found the factors 388,8161 . The biggest common factor number is the GCF number.
So the greatest common factor 388,8161 is 1.
Lets's calculate LCM of 767,183
Given numbers has no common factors except 1. So, there LCM is their product i.e 140361
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140361
Therefore, the GCF of Fractions 388/767,8161/183 is 1/140361
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 767,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,183) x common factors =1 x 1 = 1
LCM(767,183) = ( 767 × 183 ) / 1
LCM(767,183) = 140361 / 1
LCM(767,183) = 140361
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 388/767, 8161/183?
Answer: GCF of Numerators as per given numbers 388/767, 8161/183 is
GCF of Numerators i.e. for 388,8161 is 1
LCM of denominators i.e. for 767,183 is 140361.
Thus, GCF of Fractions is 1/140361.Finally, GCF of Fractions for 388/767, 8161/183 is 1/140361.