Online GCD Calculator is useful to find the GCD of 231, 651, 447, 600 quickly. Get the easiest ways to solve the greatest common divisor of 231, 651, 447, 600 i.e 3 in different methods as follows.
Given Input numbers are 231, 651, 447, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 447 :
The positive integer divisors of 447 that completely divides 447 are.
1, 3, 149, 447
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (231, 651, 447, 600) = 3.
Given numbers are 231, 651, 447, 600
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 651 are 3 x 7 x 31
Prime factors of 447 are 3 x 149
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 231, 651, 447, 600 is 3.
Given numbers are 231, 651, 447, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 651) = 7161
GCD(231, 651) = ( 231 x 651 ) / 7161
= 231 / 651
= 231
Step2:
LCM(21, 447) = 3129
GCD(21, 447) = ( 21 x 447 ) / 3129
= 21 / 447
= 21
Step3:
LCM(3, 600) = 600
GCD(3, 600) = ( 3 x 600 ) / 600
= 3 / 600
= 3
So, Greatest Common Divisor of 231, 651, 447, 600 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 651, 447, 600
The greatest common divisor of numbers 231, 651, 447, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 651, 447, 600 is 3.
1. What is the GCD of 231, 651, 447, 600?
GCD of given numbers 231, 651, 447, 600 is 3
2. How to calculate the greatest common divisor of 231, 651, 447, 600?
We can find the highest common divisor of 231, 651, 447, 600 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 231, 651, 447, 600 i.e 3.
3. How can I use the GCD of 231, 651, 447, 600Calculator?
Out the numbers 231, 651, 447, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.