Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 513/59,687/7045
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 513,687
Greatest Common Factor of Numerators i.e. GCF of 513,687 is 3 .
LCM of Denominators means LCM of 59,7045 as per the given fractions.
LCM of 59,7045 is 415655 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 513,687
3 | 513, 687 |
171, 229 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 513,687 . The biggest common factor number is the GCF number.
So the greatest common factor 513,687 is 3.
Lets's calculate LCM of 59,7045
Given numbers has no common factors except 1. So, there LCM is their product i.e 415655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/415655
Therefore, the GCF of Fractions 513/59,687/7045 is 3/415655
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 59,7045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,7045) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,7045) x common factors =1 x 1 = 1
LCM(59,7045) = ( 59 × 7045 ) / 1
LCM(59,7045) = 415655 / 1
LCM(59,7045) = 415655
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 513/59, 687/7045?
Answer: GCF of Numerators as per given numbers 513/59, 687/7045 is
GCF of Numerators i.e. for 513,687 is 3
LCM of denominators i.e. for 59,7045 is 415655.
Thus, GCF of Fractions is 3/415655.Finally, GCF of Fractions for 513/59, 687/7045 is 3/415655.