Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9483/364,3440/629
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 9483,3440
Greatest Common Factor of Numerators i.e. GCF of 9483,3440 is 1 .
LCM of Denominators means LCM of 364,629 as per the given fractions.
LCM of 364,629 is 228956 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9483,3440
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9483
List of positive integer factors of 9483 that divides 9483 without a remainder.
1,3,29,87,109,327,3161,9483
Factors of 3440
List of positive integer factors of 3440 that divides 3440 without a remainder.
1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440
Greatest Common Factor
We found the factors 9483,3440 . The biggest common factor number is the GCF number.
So the greatest common factor 9483,3440 is 1.
Lets's calculate LCM of 364,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 228956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228956
Therefore, the GCF of Fractions 9483/364,3440/629 is 1/228956
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 364,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,629) x common factors =1 x 1 = 1
LCM(364,629) = ( 364 × 629 ) / 1
LCM(364,629) = 228956 / 1
LCM(364,629) = 228956
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 9483/364, 3440/629?
Answer: GCF of Numerators as per given numbers 9483/364, 3440/629 is
GCF of Numerators i.e. for 9483,3440 is 1
LCM of denominators i.e. for 364,629 is 228956.
Thus, GCF of Fractions is 1/228956.Finally, GCF of Fractions for 9483/364, 3440/629 is 1/228956.