GCD of 693, 987, 264, 537 Calculator

Given Input numbers are 693, 987, 264, 537

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

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

GCD of numbers is the greatest common divisor

So, the GCD (693, 987, 264, 537) = 3.

Given numbers are 693, 987, 264, 537

The list of prime factors of all numbers are

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 987 are 3 x 7 x 47

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 537 are 3 x 179

The highest common occurrence is 3¹

Therefore, GCD of 693, 987, 264, 537 is 3.

Given numbers are 693, 987, 264, 537

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

Apply this formula for all numbers.

Step1:

LCM(693, 987) = 32571

GCD(693, 987) = ( 693 x 987 ) / 32571

= 693 / 987

= 693

Step2:

LCM(21, 264) = 1848

GCD(21, 264) = ( 21 x 264 ) / 1848

= 21 / 264

= 21

Step3:

LCM(3, 537) = 537

GCD(3, 537) = ( 3 x 537 ) / 537

= 3 / 537

= 3

So, Greatest Common Divisor of 693, 987, 264, 537 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 809, 811, 714
• GCD of 585, 839, 569, 928
• GCD of 808, 569, 119, 671
• GCD of 288, 602, 286, 572
• GCD of 916, 841, 713, 586

Given numbers are 693, 987, 264, 537
The greatest common divisor of numbers 693, 987, 264, 537 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 987, 264, 537 is 3.

1. What is the GCD of 693, 987, 264, 537?

GCD of given numbers 693, 987, 264, 537 is 3

2. How to calculate the greatest common divisor of 693, 987, 264, 537?

We can find the highest common divisor of 693, 987, 264, 537 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 693, 987, 264, 537 i.e 3.

3. How can I use the GCD of 693, 987, 264, 537Calculator?

Out the numbers 693, 987, 264, 537 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.