Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/348,168/653
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 23,168
Greatest Common Factor of Numerators i.e. GCF of 23,168 is 1 .
LCM of Denominators means LCM of 348,653 as per the given fractions.
LCM of 348,653 is 227244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 23,168
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 23,168 . The biggest common factor number is the GCF number.
So the greatest common factor 23,168 is 1.
Lets's calculate LCM of 348,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 227244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227244
Therefore, the GCF of Fractions 23/348,168/653 is 1/227244
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 348,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(348,653) x common factors =1 x 1 = 1
LCM(348,653) = ( 348 × 653 ) / 1
LCM(348,653) = 227244 / 1
LCM(348,653) = 227244
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 23/348, 168/653?
Answer: GCF of Numerators as per given numbers 23/348, 168/653 is
GCF of Numerators i.e. for 23,168 is 1
LCM of denominators i.e. for 348,653 is 227244.
Thus, GCF of Fractions is 1/227244.Finally, GCF of Fractions for 23/348, 168/653 is 1/227244.