Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9385/515,3108/996
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 9385,3108
Greatest Common Factor of Numerators i.e. GCF of 9385,3108 is 1 .
LCM of Denominators means LCM of 515,996 as per the given fractions.
LCM of 515,996 is 512940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9385,3108
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9385
List of positive integer factors of 9385 that divides 9385 without a remainder.
1,5,1877,9385
Factors of 3108
List of positive integer factors of 3108 that divides 3108 without a remainder.
1,2,3,4,6,7,12,14,21,28,37,42,74,84,111,148,222,259,444,518,777,1036,1554,3108
Greatest Common Factor
We found the factors 9385,3108 . The biggest common factor number is the GCF number.
So the greatest common factor 9385,3108 is 1.
Lets's calculate LCM of 515,996
Given numbers has no common factors except 1. So, there LCM is their product i.e 512940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512940
Therefore, the GCF of Fractions 9385/515,3108/996 is 1/512940
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 515,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,996) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,996) x common factors =1 x 1 = 1
LCM(515,996) = ( 515 × 996 ) / 1
LCM(515,996) = 512940 / 1
LCM(515,996) = 512940
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 9385/515, 3108/996?
Answer: GCF of Numerators as per given numbers 9385/515, 3108/996 is
GCF of Numerators i.e. for 9385,3108 is 1
LCM of denominators i.e. for 515,996 is 512940.
Thus, GCF of Fractions is 1/512940.Finally, GCF of Fractions for 9385/515, 3108/996 is 1/512940.