GCD of 438, 372, 231, 657 Calculator

Given Input numbers are 438, 372, 231, 657

In the factoring method, we have to find the divisors of all numbers

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

GCD of numbers is the greatest common divisor

So, the GCD (438, 372, 231, 657) = 3.

Given numbers are 438, 372, 231, 657

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 231 are 3 x 7 x 11

Prime factors of 657 are 3 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 438, 372, 231, 657 is 3.

Given numbers are 438, 372, 231, 657

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(438, 372) = 27156

GCD(438, 372) = ( 438 x 372 ) / 27156

= 438 / 372

= 438

Step2:

LCM(6, 231) = 462

GCD(6, 231) = ( 6 x 231 ) / 462

= 6 / 231

= 6

Step3:

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

= 3 / 657

= 3

So, Greatest Common Divisor of 438, 372, 231, 657 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 791, 485, 961, 644
• GCD of 442, 223, 762, 134
• GCD of 730, 918, 186, 888
• GCD of 356, 682, 103, 730
• GCD of 795, 418, 931, 245

Given numbers are 438, 372, 231, 657
The greatest common divisor of numbers 438, 372, 231, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 372, 231, 657 is 3.

1. What is the GCD of 438, 372, 231, 657?

GCD of given numbers 438, 372, 231, 657 is 3

2. How to calculate the greatest common divisor of 438, 372, 231, 657?

We can find the highest common divisor of 438, 372, 231, 657 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 438, 372, 231, 657 i.e 3.

3. How can I use the GCD of 438, 372, 231, 657Calculator?

Out the numbers 438, 372, 231, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.