Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4535/445,3994/1330
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 4535,3994
Greatest Common Factor of Numerators i.e. GCF of 4535,3994 is 1 .
LCM of Denominators means LCM of 445,1330 as per the given fractions.
LCM of 445,1330 is 118370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4535,3994
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4535
List of positive integer factors of 4535 that divides 4535 without a remainder.
1,5,907,4535
Factors of 3994
List of positive integer factors of 3994 that divides 3994 without a remainder.
1,2,1997,3994
Greatest Common Factor
We found the factors 4535,3994 . The biggest common factor number is the GCF number.
So the greatest common factor 4535,3994 is 1.
Lets's calculate LCM of 445,1330
5 | 445, 1330 |
89, 266 |
∴ So the LCM of the given numbers is 5 x 89 x 266 = 118370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118370
Therefore, the GCF of Fractions 4535/445,3994/1330 is 1/118370
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 445,1330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(445,1330) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(445,1330) x common factors =5 x 1 = 5
LCM(445,1330) = ( 445 × 1330 ) / 5
LCM(445,1330) = 591850 / 5
LCM(445,1330) = 118370
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 4535/445, 3994/1330?
Answer: GCF of Numerators as per given numbers 4535/445, 3994/1330 is
GCF of Numerators i.e. for 4535,3994 is 1
LCM of denominators i.e. for 445,1330 is 118370.
Thus, GCF of Fractions is 1/118370.Finally, GCF of Fractions for 4535/445, 3994/1330 is 1/118370.