Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 217/740,2019/507
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 217,2019
Greatest Common Factor of Numerators i.e. GCF of 217,2019 is 1 .
LCM of Denominators means LCM of 740,507 as per the given fractions.
LCM of 740,507 is 375180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 217,2019
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Factors of 2019
List of positive integer factors of 2019 that divides 2019 without a remainder.
1,3,673,2019
Greatest Common Factor
We found the factors 217,2019 . The biggest common factor number is the GCF number.
So the greatest common factor 217,2019 is 1.
Lets's calculate LCM of 740,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 375180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/375180
Therefore, the GCF of Fractions 217/740,2019/507 is 1/375180
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 740,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,507) x common factors =1 x 1 = 1
LCM(740,507) = ( 740 × 507 ) / 1
LCM(740,507) = 375180 / 1
LCM(740,507) = 375180
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 217/740, 2019/507?
Answer: GCF of Numerators as per given numbers 217/740, 2019/507 is
GCF of Numerators i.e. for 217,2019 is 1
LCM of denominators i.e. for 740,507 is 375180.
Thus, GCF of Fractions is 1/375180.Finally, GCF of Fractions for 217/740, 2019/507 is 1/375180.