Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 383/90,5885/379
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 383,5885
Greatest Common Factor of Numerators i.e. GCF of 383,5885 is 1 .
LCM of Denominators means LCM of 90,379 as per the given fractions.
LCM of 90,379 is 34110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 383,5885
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 383
List of positive integer factors of 383 that divides 383 without a remainder.
1,383
Factors of 5885
List of positive integer factors of 5885 that divides 5885 without a remainder.
1,5,11,55,107,535,1177,5885
Greatest Common Factor
We found the factors 383,5885 . The biggest common factor number is the GCF number.
So the greatest common factor 383,5885 is 1.
Lets's calculate LCM of 90,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 34110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34110
Therefore, the GCF of Fractions 383/90,5885/379 is 1/34110
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 90,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,379) x common factors =1 x 1 = 1
LCM(90,379) = ( 90 × 379 ) / 1
LCM(90,379) = 34110 / 1
LCM(90,379) = 34110
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 383/90, 5885/379?
Answer: GCF of Numerators as per given numbers 383/90, 5885/379 is
GCF of Numerators i.e. for 383,5885 is 1
LCM of denominators i.e. for 90,379 is 34110.
Thus, GCF of Fractions is 1/34110.Finally, GCF of Fractions for 383/90, 5885/379 is 1/34110.