Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/457,3989/5205
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 382,3989
Greatest Common Factor of Numerators i.e. GCF of 382,3989 is 1 .
LCM of Denominators means LCM of 457,5205 as per the given fractions.
LCM of 457,5205 is 2378685 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 382,3989
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 3989
List of positive integer factors of 3989 that divides 3989 without a remainder.
1,3989
Greatest Common Factor
We found the factors 382,3989 . The biggest common factor number is the GCF number.
So the greatest common factor 382,3989 is 1.
Lets's calculate LCM of 457,5205
Given numbers has no common factors except 1. So, there LCM is their product i.e 2378685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2378685
Therefore, the GCF of Fractions 382/457,3989/5205 is 1/2378685
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 457,5205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,5205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,5205) x common factors =1 x 1 = 1
LCM(457,5205) = ( 457 × 5205 ) / 1
LCM(457,5205) = 2378685 / 1
LCM(457,5205) = 2378685
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 382/457, 3989/5205?
Answer: GCF of Numerators as per given numbers 382/457, 3989/5205 is
GCF of Numerators i.e. for 382,3989 is 1
LCM of denominators i.e. for 457,5205 is 2378685.
Thus, GCF of Fractions is 1/2378685.Finally, GCF of Fractions for 382/457, 3989/5205 is 1/2378685.