GCD of 231, 132, 324, 699 Calculator

Given Input numbers are 231, 132, 324, 699

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (231, 132, 324, 699) = 3.

Given numbers are 231, 132, 324, 699

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 699 are 3 x 233

The highest common occurrence is 3¹

Therefore, GCD of 231, 132, 324, 699 is 3.

Given numbers are 231, 132, 324, 699

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

Apply this formula for all numbers.

Step1:

LCM(231, 132) = 924

GCD(231, 132) = ( 231 x 132 ) / 924

= 231 / 132

= 231

Step2:

LCM(33, 324) = 3564

GCD(33, 324) = ( 33 x 324 ) / 3564

= 33 / 324

= 33

Step3:

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

= 3 / 699

= 3

So, Greatest Common Divisor of 231, 132, 324, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 797, 130, 468
• GCD of 443, 521, 481, 967
• GCD of 776, 690, 455, 818
• GCD of 894, 725, 989, 664
• GCD of 425, 517, 254, 242

Given numbers are 231, 132, 324, 699
The greatest common divisor of numbers 231, 132, 324, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 132, 324, 699 is 3.

1. What is the GCD of 231, 132, 324, 699?

GCD of given numbers 231, 132, 324, 699 is 3

2. How to calculate the greatest common divisor of 231, 132, 324, 699?

We can find the highest common divisor of 231, 132, 324, 699 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, 132, 324, 699 i.e 3.

3. How can I use the GCD of 231, 132, 324, 699Calculator?

Out the numbers 231, 132, 324, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.