Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 168/193,7801/447
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 168,7801
Greatest Common Factor of Numerators i.e. GCF of 168,7801 is 1 .
LCM of Denominators means LCM of 193,447 as per the given fractions.
LCM of 193,447 is 86271 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 168,7801
∴ So GCF of numbers is 1 because of no common factors present between them.
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
Factors of 7801
List of positive integer factors of 7801 that divides 7801 without a remainder.
1,29,269,7801
Greatest Common Factor
We found the factors 168,7801 . The biggest common factor number is the GCF number.
So the greatest common factor 168,7801 is 1.
Lets's calculate LCM of 193,447
Given numbers has no common factors except 1. So, there LCM is their product i.e 86271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86271
Therefore, the GCF of Fractions 168/193,7801/447 is 1/86271
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 193,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,447) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,447) x common factors =1 x 1 = 1
LCM(193,447) = ( 193 × 447 ) / 1
LCM(193,447) = 86271 / 1
LCM(193,447) = 86271
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 168/193, 7801/447?
Answer: GCF of Numerators as per given numbers 168/193, 7801/447 is
GCF of Numerators i.e. for 168,7801 is 1
LCM of denominators i.e. for 193,447 is 86271.
Thus, GCF of Fractions is 1/86271.Finally, GCF of Fractions for 168/193, 7801/447 is 1/86271.