Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4832/41,2067/913
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 4832,2067
Greatest Common Factor of Numerators i.e. GCF of 4832,2067 is 1 .
LCM of Denominators means LCM of 41,913 as per the given fractions.
LCM of 41,913 is 37433 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4832,2067
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4832
List of positive integer factors of 4832 that divides 4832 without a remainder.
1,2,4,8,16,32,151,302,604,1208,2416,4832
Factors of 2067
List of positive integer factors of 2067 that divides 2067 without a remainder.
1,3,13,39,53,159,689,2067
Greatest Common Factor
We found the factors 4832,2067 . The biggest common factor number is the GCF number.
So the greatest common factor 4832,2067 is 1.
Lets's calculate LCM of 41,913
Given numbers has no common factors except 1. So, there LCM is their product i.e 37433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37433
Therefore, the GCF of Fractions 4832/41,2067/913 is 1/37433
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 41,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,913) x common factors =1 x 1 = 1
LCM(41,913) = ( 41 × 913 ) / 1
LCM(41,913) = 37433 / 1
LCM(41,913) = 37433
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 4832/41, 2067/913?
Answer: GCF of Numerators as per given numbers 4832/41, 2067/913 is
GCF of Numerators i.e. for 4832,2067 is 1
LCM of denominators i.e. for 41,913 is 37433.
Thus, GCF of Fractions is 1/37433.Finally, GCF of Fractions for 4832/41, 2067/913 is 1/37433.