Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6443/462,7499/487
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 6443,7499
Greatest Common Factor of Numerators i.e. GCF of 6443,7499 is 1 .
LCM of Denominators means LCM of 462,487 as per the given fractions.
LCM of 462,487 is 224994 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6443,7499
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6443
List of positive integer factors of 6443 that divides 6443 without a remainder.
1,17,379,6443
Factors of 7499
List of positive integer factors of 7499 that divides 7499 without a remainder.
1,7499
Greatest Common Factor
We found the factors 6443,7499 . The biggest common factor number is the GCF number.
So the greatest common factor 6443,7499 is 1.
Lets's calculate LCM of 462,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 224994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224994
Therefore, the GCF of Fractions 6443/462,7499/487 is 1/224994
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 462,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(462,487) x common factors =1 x 1 = 1
LCM(462,487) = ( 462 × 487 ) / 1
LCM(462,487) = 224994 / 1
LCM(462,487) = 224994
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 6443/462, 7499/487?
Answer: GCF of Numerators as per given numbers 6443/462, 7499/487 is
GCF of Numerators i.e. for 6443,7499 is 1
LCM of denominators i.e. for 462,487 is 224994.
Thus, GCF of Fractions is 1/224994.Finally, GCF of Fractions for 6443/462, 7499/487 is 1/224994.