Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5398/744,3123/5184
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 5398,3123
Greatest Common Factor of Numerators i.e. GCF of 5398,3123 is 1 .
LCM of Denominators means LCM of 744,5184 as per the given fractions.
LCM of 744,5184 is 160704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5398,3123
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5398
List of positive integer factors of 5398 that divides 5398 without a remainder.
1,2,2699,5398
Factors of 3123
List of positive integer factors of 3123 that divides 3123 without a remainder.
1,3,9,347,1041,3123
Greatest Common Factor
We found the factors 5398,3123 . The biggest common factor number is the GCF number.
So the greatest common factor 5398,3123 is 1.
Lets's calculate LCM of 744,5184
2 | 744, 5184 |
2 | 372, 2592 |
2 | 186, 1296 |
3 | 93, 648 |
31, 216 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 31 x 216 = 160704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160704
Therefore, the GCF of Fractions 5398/744,3123/5184 is 1/160704
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 744,5184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,5184) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(744,5184) x common factors =24 x 1 = 24
LCM(744,5184) = ( 744 × 5184 ) / 24
LCM(744,5184) = 3856896 / 24
LCM(744,5184) = 160704
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 5398/744, 3123/5184?
Answer: GCF of Numerators as per given numbers 5398/744, 3123/5184 is
GCF of Numerators i.e. for 5398,3123 is 1
LCM of denominators i.e. for 744,5184 is 160704.
Thus, GCF of Fractions is 1/160704.Finally, GCF of Fractions for 5398/744, 3123/5184 is 1/160704.