Online GCD Calculator is useful to find the GCD of 297, 150, 210, 447 quickly. Get the easiest ways to solve the greatest common divisor of 297, 150, 210, 447 i.e 3 in different methods as follows.
Given Input numbers are 297, 150, 210, 447
In the factoring method, we have to find the divisors of all numbers
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 447 :
The positive integer divisors of 447 that completely divides 447 are.
1, 3, 149, 447
GCD of numbers is the greatest common divisor
So, the GCD (297, 150, 210, 447) = 3.
Given numbers are 297, 150, 210, 447
The list of prime factors of all numbers are
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 447 are 3 x 149
The highest common occurrence is 31
Therefore, GCD of 297, 150, 210, 447 is 3.
Given numbers are 297, 150, 210, 447
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(297, 150) = 14850
GCD(297, 150) = ( 297 x 150 ) / 14850
= 297 / 150
= 297
Step2:
LCM(3, 210) = 210
GCD(3, 210) = ( 3 x 210 ) / 210
= 3 / 210
= 3
Step3:
LCM(3, 447) = 447
GCD(3, 447) = ( 3 x 447 ) / 447
= 3 / 447
= 3
So, Greatest Common Divisor of 297, 150, 210, 447 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 297, 150, 210, 447
The greatest common divisor of numbers 297, 150, 210, 447 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 150, 210, 447 is 3.
1. What is the GCD of 297, 150, 210, 447?
GCD of given numbers 297, 150, 210, 447 is 3
2. How to calculate the greatest common divisor of 297, 150, 210, 447?
We can find the highest common divisor of 297, 150, 210, 447 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 297, 150, 210, 447 i.e 3.
3. How can I use the GCD of 297, 150, 210, 447Calculator?
Out the numbers 297, 150, 210, 447 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.