Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2863/63,1205/969
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 2863,1205
Greatest Common Factor of Numerators i.e. GCF of 2863,1205 is 1 .
LCM of Denominators means LCM of 63,969 as per the given fractions.
LCM of 63,969 is 20349 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2863,1205
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2863
List of positive integer factors of 2863 that divides 2863 without a remainder.
1,7,409,2863
Factors of 1205
List of positive integer factors of 1205 that divides 1205 without a remainder.
1,5,241,1205
Greatest Common Factor
We found the factors 2863,1205 . The biggest common factor number is the GCF number.
So the greatest common factor 2863,1205 is 1.
Lets's calculate LCM of 63,969
3 | 63, 969 |
21, 323 |
∴ So the LCM of the given numbers is 3 x 21 x 323 = 20349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20349
Therefore, the GCF of Fractions 2863/63,1205/969 is 1/20349
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 63,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,969) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(63,969) x common factors =3 x 1 = 3
LCM(63,969) = ( 63 × 969 ) / 3
LCM(63,969) = 61047 / 3
LCM(63,969) = 20349
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 2863/63, 1205/969?
Answer: GCF of Numerators as per given numbers 2863/63, 1205/969 is
GCF of Numerators i.e. for 2863,1205 is 1
LCM of denominators i.e. for 63,969 is 20349.
Thus, GCF of Fractions is 1/20349.Finally, GCF of Fractions for 2863/63, 1205/969 is 1/20349.