Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 329/383,945/585
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 329,945
Greatest Common Factor of Numerators i.e. GCF of 329,945 is 7 .
LCM of Denominators means LCM of 383,585 as per the given fractions.
LCM of 383,585 is 224055 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 329,945
7 | 329, 945 |
47, 135 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Greatest Common Factor
We found the factors 329,945 . The biggest common factor number is the GCF number.
So the greatest common factor 329,945 is 7.
Lets's calculate LCM of 383,585
Given numbers has no common factors except 1. So, there LCM is their product i.e 224055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/224055
Therefore, the GCF of Fractions 329/383,945/585 is 7/224055
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 383,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,585) x common factors =1 x 1 = 1
LCM(383,585) = ( 383 × 585 ) / 1
LCM(383,585) = 224055 / 1
LCM(383,585) = 224055
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 329/383, 945/585?
Answer: GCF of Numerators as per given numbers 329/383, 945/585 is
GCF of Numerators i.e. for 329,945 is 7
LCM of denominators i.e. for 383,585 is 224055.
Thus, GCF of Fractions is 7/224055.Finally, GCF of Fractions for 329/383, 945/585 is 7/224055.