Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 200/63,6443/229
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 200,6443
Greatest Common Factor of Numerators i.e. GCF of 200,6443 is 1 .
LCM of Denominators means LCM of 63,229 as per the given fractions.
LCM of 63,229 is 14427 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 200,6443
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Factors of 6443
List of positive integer factors of 6443 that divides 6443 without a remainder.
1,17,379,6443
Greatest Common Factor
We found the factors 200,6443 . The biggest common factor number is the GCF number.
So the greatest common factor 200,6443 is 1.
Lets's calculate LCM of 63,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 14427
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14427
Therefore, the GCF of Fractions 200/63,6443/229 is 1/14427
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 63,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,229) x common factors =1 x 1 = 1
LCM(63,229) = ( 63 × 229 ) / 1
LCM(63,229) = 14427 / 1
LCM(63,229) = 14427
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 200/63, 6443/229?
Answer: GCF of Numerators as per given numbers 200/63, 6443/229 is
GCF of Numerators i.e. for 200,6443 is 1
LCM of denominators i.e. for 63,229 is 14427.
Thus, GCF of Fractions is 1/14427.Finally, GCF of Fractions for 200/63, 6443/229 is 1/14427.