Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 345/514,7894/571
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 345,7894
Greatest Common Factor of Numerators i.e. GCF of 345,7894 is 1 .
LCM of Denominators means LCM of 514,571 as per the given fractions.
LCM of 514,571 is 293494 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 345,7894
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 7894
List of positive integer factors of 7894 that divides 7894 without a remainder.
1,2,3947,7894
Greatest Common Factor
We found the factors 345,7894 . The biggest common factor number is the GCF number.
So the greatest common factor 345,7894 is 1.
Lets's calculate LCM of 514,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 293494
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293494
Therefore, the GCF of Fractions 345/514,7894/571 is 1/293494
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 514,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,571) x common factors =1 x 1 = 1
LCM(514,571) = ( 514 × 571 ) / 1
LCM(514,571) = 293494 / 1
LCM(514,571) = 293494
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 345/514, 7894/571?
Answer: GCF of Numerators as per given numbers 345/514, 7894/571 is
GCF of Numerators i.e. for 345,7894 is 1
LCM of denominators i.e. for 514,571 is 293494.
Thus, GCF of Fractions is 1/293494.Finally, GCF of Fractions for 345/514, 7894/571 is 1/293494.