Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/438,1385/191
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 424,1385
Greatest Common Factor of Numerators i.e. GCF of 424,1385 is 1 .
LCM of Denominators means LCM of 438,191 as per the given fractions.
LCM of 438,191 is 83658 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 424,1385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 1385
List of positive integer factors of 1385 that divides 1385 without a remainder.
1,5,277,1385
Greatest Common Factor
We found the factors 424,1385 . The biggest common factor number is the GCF number.
So the greatest common factor 424,1385 is 1.
Lets's calculate LCM of 438,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 83658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83658
Therefore, the GCF of Fractions 424/438,1385/191 is 1/83658
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 438,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,191) x common factors =1 x 1 = 1
LCM(438,191) = ( 438 × 191 ) / 1
LCM(438,191) = 83658 / 1
LCM(438,191) = 83658
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 424/438, 1385/191?
Answer: GCF of Numerators as per given numbers 424/438, 1385/191 is
GCF of Numerators i.e. for 424,1385 is 1
LCM of denominators i.e. for 438,191 is 83658.
Thus, GCF of Fractions is 1/83658.Finally, GCF of Fractions for 424/438, 1385/191 is 1/83658.