GCD of 590, 738, 696, 258 Calculator

Given Input numbers are 590, 738, 696, 258

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

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

GCD of numbers is the greatest common divisor

So, the GCD (590, 738, 696, 258) = 2.

Given numbers are 590, 738, 696, 258

The list of prime factors of all numbers are

Prime factors of 590 are 2 x 5 x 59

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 258 are 2 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 590, 738, 696, 258 is 2.

Given numbers are 590, 738, 696, 258

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

Apply this formula for all numbers.

Step1:

LCM(590, 738) = 217710

GCD(590, 738) = ( 590 x 738 ) / 217710

= 590 / 738

= 590

Step2:

LCM(2, 696) = 696

GCD(2, 696) = ( 2 x 696 ) / 696

= 2 / 696

= 2

Step3:

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

= 2 / 258

= 2

So, Greatest Common Divisor of 590, 738, 696, 258 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 193, 492, 654
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• GCD of 775, 954, 233, 309
• GCD of 816, 962, 604, 713

Given numbers are 590, 738, 696, 258
The greatest common divisor of numbers 590, 738, 696, 258 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 590, 738, 696, 258 is 2.

1. What is the GCD of 590, 738, 696, 258?

GCD of given numbers 590, 738, 696, 258 is 2

2. How to calculate the greatest common divisor of 590, 738, 696, 258?

We can find the highest common divisor of 590, 738, 696, 258 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 590, 738, 696, 258 i.e 2.

3. How can I use the GCD of 590, 738, 696, 258Calculator?

Out the numbers 590, 738, 696, 258 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.