Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6519/38,3029/454
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 6519,3029
Greatest Common Factor of Numerators i.e. GCF of 6519,3029 is 1 .
LCM of Denominators means LCM of 38,454 as per the given fractions.
LCM of 38,454 is 8626 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6519,3029
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6519
List of positive integer factors of 6519 that divides 6519 without a remainder.
1,3,41,53,123,159,2173,6519
Factors of 3029
List of positive integer factors of 3029 that divides 3029 without a remainder.
1,13,233,3029
Greatest Common Factor
We found the factors 6519,3029 . The biggest common factor number is the GCF number.
So the greatest common factor 6519,3029 is 1.
Lets's calculate LCM of 38,454
2 | 38, 454 |
19, 227 |
∴ So the LCM of the given numbers is 2 x 19 x 227 = 8626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8626
Therefore, the GCF of Fractions 6519/38,3029/454 is 1/8626
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 38,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,454) x common factors =2 x 1 = 2
LCM(38,454) = ( 38 × 454 ) / 2
LCM(38,454) = 17252 / 2
LCM(38,454) = 8626
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 6519/38, 3029/454?
Answer: GCF of Numerators as per given numbers 6519/38, 3029/454 is
GCF of Numerators i.e. for 6519,3029 is 1
LCM of denominators i.e. for 38,454 is 8626.
Thus, GCF of Fractions is 1/8626.Finally, GCF of Fractions for 6519/38, 3029/454 is 1/8626.