Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7519/498,1741/2917
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 7519,1741
Greatest Common Factor of Numerators i.e. GCF of 7519,1741 is 1 .
LCM of Denominators means LCM of 498,2917 as per the given fractions.
LCM of 498,2917 is 1452666 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7519,1741
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7519
List of positive integer factors of 7519 that divides 7519 without a remainder.
1,73,103,7519
Factors of 1741
List of positive integer factors of 1741 that divides 1741 without a remainder.
1,1741
Greatest Common Factor
We found the factors 7519,1741 . The biggest common factor number is the GCF number.
So the greatest common factor 7519,1741 is 1.
Lets's calculate LCM of 498,2917
Given numbers has no common factors except 1. So, there LCM is their product i.e 1452666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1452666
Therefore, the GCF of Fractions 7519/498,1741/2917 is 1/1452666
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 498,2917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,2917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(498,2917) x common factors =1 x 1 = 1
LCM(498,2917) = ( 498 × 2917 ) / 1
LCM(498,2917) = 1452666 / 1
LCM(498,2917) = 1452666
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 7519/498, 1741/2917?
Answer: GCF of Numerators as per given numbers 7519/498, 1741/2917 is
GCF of Numerators i.e. for 7519,1741 is 1
LCM of denominators i.e. for 498,2917 is 1452666.
Thus, GCF of Fractions is 1/1452666.Finally, GCF of Fractions for 7519/498, 1741/2917 is 1/1452666.