Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/193,9401/1377
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 423,9401
Greatest Common Factor of Numerators i.e. GCF of 423,9401 is 1 .
LCM of Denominators means LCM of 193,1377 as per the given fractions.
LCM of 193,1377 is 265761 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 423,9401
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 9401
List of positive integer factors of 9401 that divides 9401 without a remainder.
1,7,17,79,119,553,1343,9401
Greatest Common Factor
We found the factors 423,9401 . The biggest common factor number is the GCF number.
So the greatest common factor 423,9401 is 1.
Lets's calculate LCM of 193,1377
Given numbers has no common factors except 1. So, there LCM is their product i.e 265761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265761
Therefore, the GCF of Fractions 423/193,9401/1377 is 1/265761
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 193,1377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(193,1377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(193,1377) x common factors =1 x 1 = 1
LCM(193,1377) = ( 193 × 1377 ) / 1
LCM(193,1377) = 265761 / 1
LCM(193,1377) = 265761
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 423/193, 9401/1377?
Answer: GCF of Numerators as per given numbers 423/193, 9401/1377 is
GCF of Numerators i.e. for 423,9401 is 1
LCM of denominators i.e. for 193,1377 is 265761.
Thus, GCF of Fractions is 1/265761.Finally, GCF of Fractions for 423/193, 9401/1377 is 1/265761.