Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 893/17,2300/409
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 893,2300
Greatest Common Factor of Numerators i.e. GCF of 893,2300 is 1 .
LCM of Denominators means LCM of 17,409 as per the given fractions.
LCM of 17,409 is 6953 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 893,2300
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Factors of 2300
List of positive integer factors of 2300 that divides 2300 without a remainder.
1,2,4,5,10,20,23,25,46,50,92,100,115,230,460,575,1150,2300
Greatest Common Factor
We found the factors 893,2300 . The biggest common factor number is the GCF number.
So the greatest common factor 893,2300 is 1.
Lets's calculate LCM of 17,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 6953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6953
Therefore, the GCF of Fractions 893/17,2300/409 is 1/6953
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 17,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,409) x common factors =1 x 1 = 1
LCM(17,409) = ( 17 × 409 ) / 1
LCM(17,409) = 6953 / 1
LCM(17,409) = 6953
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 893/17, 2300/409?
Answer: GCF of Numerators as per given numbers 893/17, 2300/409 is
GCF of Numerators i.e. for 893,2300 is 1
LCM of denominators i.e. for 17,409 is 6953.
Thus, GCF of Fractions is 1/6953.Finally, GCF of Fractions for 893/17, 2300/409 is 1/6953.