Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1888/623,4381/483
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 1888,4381
Greatest Common Factor of Numerators i.e. GCF of 1888,4381 is 1 .
LCM of Denominators means LCM of 623,483 as per the given fractions.
LCM of 623,483 is 42987 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1888,4381
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1888
List of positive integer factors of 1888 that divides 1888 without a remainder.
1,2,4,8,16,32,59,118,236,472,944,1888
Factors of 4381
List of positive integer factors of 4381 that divides 4381 without a remainder.
1,13,337,4381
Greatest Common Factor
We found the factors 1888,4381 . The biggest common factor number is the GCF number.
So the greatest common factor 1888,4381 is 1.
Lets's calculate LCM of 623,483
7 | 623, 483 |
89, 69 |
∴ So the LCM of the given numbers is 7 x 89 x 69 = 42987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42987
Therefore, the GCF of Fractions 1888/623,4381/483 is 1/42987
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 623,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,483) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(623,483) x common factors =7 x 1 = 7
LCM(623,483) = ( 623 × 483 ) / 7
LCM(623,483) = 300909 / 7
LCM(623,483) = 42987
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 1888/623, 4381/483?
Answer: GCF of Numerators as per given numbers 1888/623, 4381/483 is
GCF of Numerators i.e. for 1888,4381 is 1
LCM of denominators i.e. for 623,483 is 42987.
Thus, GCF of Fractions is 1/42987.Finally, GCF of Fractions for 1888/623, 4381/483 is 1/42987.