Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3836/330,9645/5539
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 3836,9645
Greatest Common Factor of Numerators i.e. GCF of 3836,9645 is 1 .
LCM of Denominators means LCM of 330,5539 as per the given fractions.
LCM of 330,5539 is 1827870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3836,9645
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3836
List of positive integer factors of 3836 that divides 3836 without a remainder.
1,2,4,7,14,28,137,274,548,959,1918,3836
Factors of 9645
List of positive integer factors of 9645 that divides 9645 without a remainder.
1,3,5,15,643,1929,3215,9645
Greatest Common Factor
We found the factors 3836,9645 . The biggest common factor number is the GCF number.
So the greatest common factor 3836,9645 is 1.
Lets's calculate LCM of 330,5539
Given numbers has no common factors except 1. So, there LCM is their product i.e 1827870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1827870
Therefore, the GCF of Fractions 3836/330,9645/5539 is 1/1827870
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 330,5539 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,5539) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(330,5539) x common factors =1 x 1 = 1
LCM(330,5539) = ( 330 × 5539 ) / 1
LCM(330,5539) = 1827870 / 1
LCM(330,5539) = 1827870
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 3836/330, 9645/5539?
Answer: GCF of Numerators as per given numbers 3836/330, 9645/5539 is
GCF of Numerators i.e. for 3836,9645 is 1
LCM of denominators i.e. for 330,5539 is 1827870.
Thus, GCF of Fractions is 1/1827870.Finally, GCF of Fractions for 3836/330, 9645/5539 is 1/1827870.