GCD of 537, 438, 273, 693 Calculator

Given Input numbers are 537, 438, 273, 693

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

Divisors of 537 :

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

1, 3, 179, 537

Divisors of 438 :

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

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

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

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

GCD of numbers is the greatest common divisor

So, the GCD (537, 438, 273, 693) = 3.

Given numbers are 537, 438, 273, 693

The list of prime factors of all numbers are

Prime factors of 537 are 3 x 179

Prime factors of 438 are 2 x 3 x 73

Prime factors of 273 are 3 x 7 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 537, 438, 273, 693 is 3.

Given numbers are 537, 438, 273, 693

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

Apply this formula for all numbers.

Step1:

LCM(537, 438) = 78402

GCD(537, 438) = ( 537 x 438 ) / 78402

= 537 / 438

= 537

Step2:

LCM(3, 273) = 273

GCD(3, 273) = ( 3 x 273 ) / 273

= 3 / 273

= 3

Step3:

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

= 3 / 693

= 3

So, Greatest Common Divisor of 537, 438, 273, 693 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 280, 943, 602
• GCD of 532, 150, 568, 817
• GCD of 344, 520, 397, 327
• GCD of 389, 982, 876, 827
• GCD of 556, 149, 691, 760

Given numbers are 537, 438, 273, 693
The greatest common divisor of numbers 537, 438, 273, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 438, 273, 693 is 3.

1. What is the GCD of 537, 438, 273, 693?

GCD of given numbers 537, 438, 273, 693 is 3

2. How to calculate the greatest common divisor of 537, 438, 273, 693?

We can find the highest common divisor of 537, 438, 273, 693 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 537, 438, 273, 693 i.e 3.

3. How can I use the GCD of 537, 438, 273, 693Calculator?

Out the numbers 537, 438, 273, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.