Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5003/443,4862/900
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 5003,4862
Greatest Common Factor of Numerators i.e. GCF of 5003,4862 is 1 .
LCM of Denominators means LCM of 443,900 as per the given fractions.
LCM of 443,900 is 398700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5003,4862
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5003
List of positive integer factors of 5003 that divides 5003 without a remainder.
1,5003
Factors of 4862
List of positive integer factors of 4862 that divides 4862 without a remainder.
1,2,11,13,17,22,26,34,143,187,221,286,374,442,2431,4862
Greatest Common Factor
We found the factors 5003,4862 . The biggest common factor number is the GCF number.
So the greatest common factor 5003,4862 is 1.
Lets's calculate LCM of 443,900
Given numbers has no common factors except 1. So, there LCM is their product i.e 398700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398700
Therefore, the GCF of Fractions 5003/443,4862/900 is 1/398700
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 443,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,900) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,900) x common factors =1 x 1 = 1
LCM(443,900) = ( 443 × 900 ) / 1
LCM(443,900) = 398700 / 1
LCM(443,900) = 398700
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 5003/443, 4862/900?
Answer: GCF of Numerators as per given numbers 5003/443, 4862/900 is
GCF of Numerators i.e. for 5003,4862 is 1
LCM of denominators i.e. for 443,900 is 398700.
Thus, GCF of Fractions is 1/398700.Finally, GCF of Fractions for 5003/443, 4862/900 is 1/398700.