Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 483/35,667/18,345/349
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 483,667,345
Greatest Common Factor of Numerators i.e. GCF of 483,667,345 is 23 .
LCM of Denominators means LCM of 35,18,349 as per the given fractions.
LCM of 35,18,349 is 219870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 483,667,345
23 | 483, 667, 345 |
21, 29, 15 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1,23,29,667
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Greatest Common Factor
We found the factors 483,667,345 . The biggest common factor number is the GCF number.
So the greatest common factor 483,667,345 is 23.
Lets's calculate LCM of 35,18,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 219870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/219870
Therefore, the GCF of Fractions 483/35,667/18,345/349 is 23/219870
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 35,18,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,18,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,18,349) x common factors =1 x 1 = 1
LCM(35,18,349) = ( 35 × 18 × 349 ) / 1
LCM(35,18,349) = 219870 / 1
LCM(35,18,349) = 219870
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 483/35, 667/18, 345/349?
Answer: GCF of Numerators as per given numbers 483/35, 667/18, 345/349 is
GCF of Numerators i.e. for 483,667,345 is 23
LCM of denominators i.e. for 35,18,349 is 219870.
Thus, GCF of Fractions is 23/219870.Finally, GCF of Fractions for 483/35, 667/18, 345/349 is 23/219870.