Online GCD Calculator is useful to find the GCD of 237, 432, 423, 402 quickly. Get the easiest ways to solve the greatest common divisor of 237, 432, 423, 402 i.e 3 in different methods as follows.
Given Input numbers are 237, 432, 423, 402
In the factoring method, we have to find the divisors of all numbers
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
GCD of numbers is the greatest common divisor
So, the GCD (237, 432, 423, 402) = 3.
Given numbers are 237, 432, 423, 402
The list of prime factors of all numbers are
Prime factors of 237 are 3 x 79
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 423 are 3 x 3 x 47
Prime factors of 402 are 2 x 3 x 67
The highest common occurrence is 31
Therefore, GCD of 237, 432, 423, 402 is 3.
Given numbers are 237, 432, 423, 402
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(237, 432) = 34128
GCD(237, 432) = ( 237 x 432 ) / 34128
= 237 / 432
= 237
Step2:
LCM(3, 423) = 423
GCD(3, 423) = ( 3 x 423 ) / 423
= 3 / 423
= 3
Step3:
LCM(3, 402) = 402
GCD(3, 402) = ( 3 x 402 ) / 402
= 3 / 402
= 3
So, Greatest Common Divisor of 237, 432, 423, 402 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 237, 432, 423, 402
The greatest common divisor of numbers 237, 432, 423, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 432, 423, 402 is 3.
1. What is the GCD of 237, 432, 423, 402?
GCD of given numbers 237, 432, 423, 402 is 3
2. How to calculate the greatest common divisor of 237, 432, 423, 402?
We can find the highest common divisor of 237, 432, 423, 402 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 237, 432, 423, 402 i.e 3.
3. How can I use the GCD of 237, 432, 423, 402Calculator?
Out the numbers 237, 432, 423, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.