Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 415/501,378/503
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 415,378
Greatest Common Factor of Numerators i.e. GCF of 415,378 is 1 .
LCM of Denominators means LCM of 501,503 as per the given fractions.
LCM of 501,503 is 252003 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 415,378
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 378
List of positive integer factors of 378 that divides 378 without a remainder.
1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378
Greatest Common Factor
We found the factors 415,378 . The biggest common factor number is the GCF number.
So the greatest common factor 415,378 is 1.
Lets's calculate LCM of 501,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 252003
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252003
Therefore, the GCF of Fractions 415/501,378/503 is 1/252003
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 501,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,503) x common factors =1 x 1 = 1
LCM(501,503) = ( 501 × 503 ) / 1
LCM(501,503) = 252003 / 1
LCM(501,503) = 252003
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 415/501, 378/503?
Answer: GCF of Numerators as per given numbers 415/501, 378/503 is
GCF of Numerators i.e. for 415,378 is 1
LCM of denominators i.e. for 501,503 is 252003.
Thus, GCF of Fractions is 1/252003.Finally, GCF of Fractions for 415/501, 378/503 is 1/252003.