GCD of 537, 381, 759, 588 Calculator

Given Input numbers are 537, 381, 759, 588

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 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (537, 381, 759, 588) = 3.

Given numbers are 537, 381, 759, 588

The list of prime factors of all numbers are

Prime factors of 537 are 3 x 179

Prime factors of 381 are 3 x 127

Prime factors of 759 are 3 x 11 x 23

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 537, 381, 759, 588 is 3.

Given numbers are 537, 381, 759, 588

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

Apply this formula for all numbers.

Step1:

LCM(537, 381) = 68199

GCD(537, 381) = ( 537 x 381 ) / 68199

= 537 / 381

= 537

Step2:

LCM(3, 759) = 759

GCD(3, 759) = ( 3 x 759 ) / 759

= 3 / 759

= 3

Step3:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

So, Greatest Common Divisor of 537, 381, 759, 588 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 718, 337, 213
• GCD of 571, 337, 673, 925
• GCD of 357, 832, 572, 859
• GCD of 288, 390, 901, 571
• GCD of 705, 415, 926, 211

Given numbers are 537, 381, 759, 588
The greatest common divisor of numbers 537, 381, 759, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 537, 381, 759, 588 is 3.

1. What is the GCD of 537, 381, 759, 588?

GCD of given numbers 537, 381, 759, 588 is 3

2. How to calculate the greatest common divisor of 537, 381, 759, 588?

We can find the highest common divisor of 537, 381, 759, 588 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, 381, 759, 588 i.e 3.

3. How can I use the GCD of 537, 381, 759, 588Calculator?

Out the numbers 537, 381, 759, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.