GCD of 537, 470, 749, 462 Calculator

Given Input numbers are 537, 470, 749, 462

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (537, 470, 749, 462) = 1.

Given numbers are 537, 470, 749, 462

The list of prime factors of all numbers are

Prime factors of 537 are 3 x 179

Prime factors of 470 are 2 x 5 x 47

Prime factors of 749 are 7 x 107

Prime factors of 462 are 2 x 3 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 537, 470, 749, 462

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

Apply this formula for all numbers.

Step1:

LCM(537, 470) = 252390

GCD(537, 470) = ( 537 x 470 ) / 252390

= 537 / 470

= 537

Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

Step3:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

So, Greatest Common Divisor of 537, 470, 749, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 612, 369, 689
• GCD of 806, 634, 190, 889
• GCD of 677, 505, 330, 635
• GCD of 735, 672, 635, 636
• GCD of 701, 905, 181, 280

Given numbers are 537, 470, 749, 462
The greatest common divisor of numbers 537, 470, 749, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 470, 749, 462 is 1.

1. What is the GCD of 537, 470, 749, 462?

GCD of given numbers 537, 470, 749, 462 is 1

2. How to calculate the greatest common divisor of 537, 470, 749, 462?

We can find the highest common divisor of 537, 470, 749, 462 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, 470, 749, 462 i.e 1.

3. How can I use the GCD of 537, 470, 749, 462Calculator?

Out the numbers 537, 470, 749, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.