GCD of 231, 837, 321, 474 Calculator

Given Input numbers are 231, 837, 321, 474

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 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (231, 837, 321, 474) = 3.

Given numbers are 231, 837, 321, 474

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 321 are 3 x 107

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 231, 837, 321, 474 is 3.

Given numbers are 231, 837, 321, 474

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

Apply this formula for all numbers.

Step1:

LCM(231, 837) = 64449

GCD(231, 837) = ( 231 x 837 ) / 64449

= 231 / 837

= 231

Step2:

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

= 3 / 321

= 3

Step3:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

So, Greatest Common Divisor of 231, 837, 321, 474 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 903, 604, 939
• GCD of 635, 527, 477, 148
• GCD of 462, 757, 774, 132
• GCD of 303, 484, 772, 782
• GCD of 911, 533, 579, 836

Given numbers are 231, 837, 321, 474
The greatest common divisor of numbers 231, 837, 321, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 837, 321, 474 is 3.

1. What is the GCD of 231, 837, 321, 474?

GCD of given numbers 231, 837, 321, 474 is 3

2. How to calculate the greatest common divisor of 231, 837, 321, 474?

We can find the highest common divisor of 231, 837, 321, 474 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, 837, 321, 474 i.e 3.

3. How can I use the GCD of 231, 837, 321, 474Calculator?

Out the numbers 231, 837, 321, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.