Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 388/40,815/6947
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 388,815
Greatest Common Factor of Numerators i.e. GCF of 388,815 is 1 .
LCM of Denominators means LCM of 40,6947 as per the given fractions.
LCM of 40,6947 is 277880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 388,815
∴ 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 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Greatest Common Factor
We found the factors 388,815 . The biggest common factor number is the GCF number.
So the greatest common factor 388,815 is 1.
Lets's calculate LCM of 40,6947
Given numbers has no common factors except 1. So, there LCM is their product i.e 277880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277880
Therefore, the GCF of Fractions 388/40,815/6947 is 1/277880
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 40,6947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,6947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,6947) x common factors =1 x 1 = 1
LCM(40,6947) = ( 40 × 6947 ) / 1
LCM(40,6947) = 277880 / 1
LCM(40,6947) = 277880
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 388/40, 815/6947?
Answer: GCF of Numerators as per given numbers 388/40, 815/6947 is
GCF of Numerators i.e. for 388,815 is 1
LCM of denominators i.e. for 40,6947 is 277880.
Thus, GCF of Fractions is 1/277880.Finally, GCF of Fractions for 388/40, 815/6947 is 1/277880.