Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5343/743,2324/4383
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 5343,2324
Greatest Common Factor of Numerators i.e. GCF of 5343,2324 is 1 .
LCM of Denominators means LCM of 743,4383 as per the given fractions.
LCM of 743,4383 is 3256569 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5343,2324
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5343
List of positive integer factors of 5343 that divides 5343 without a remainder.
1,3,13,39,137,411,1781,5343
Factors of 2324
List of positive integer factors of 2324 that divides 2324 without a remainder.
1,2,4,7,14,28,83,166,332,581,1162,2324
Greatest Common Factor
We found the factors 5343,2324 . The biggest common factor number is the GCF number.
So the greatest common factor 5343,2324 is 1.
Lets's calculate LCM of 743,4383
Given numbers has no common factors except 1. So, there LCM is their product i.e 3256569
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3256569
Therefore, the GCF of Fractions 5343/743,2324/4383 is 1/3256569
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 743,4383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,4383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,4383) x common factors =1 x 1 = 1
LCM(743,4383) = ( 743 × 4383 ) / 1
LCM(743,4383) = 3256569 / 1
LCM(743,4383) = 3256569
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 5343/743, 2324/4383?
Answer: GCF of Numerators as per given numbers 5343/743, 2324/4383 is
GCF of Numerators i.e. for 5343,2324 is 1
LCM of denominators i.e. for 743,4383 is 3256569.
Thus, GCF of Fractions is 1/3256569.Finally, GCF of Fractions for 5343/743, 2324/4383 is 1/3256569.