GCD of 358, 506, 182, 524 Calculator

Given Input numbers are 358, 506, 182, 524

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

GCD of numbers is the greatest common divisor

So, the GCD (358, 506, 182, 524) = 2.

Given numbers are 358, 506, 182, 524

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 506 are 2 x 11 x 23

Prime factors of 182 are 2 x 7 x 13

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 358, 506, 182, 524 is 2.

Given numbers are 358, 506, 182, 524

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

Apply this formula for all numbers.

Step1:

LCM(358, 506) = 90574

GCD(358, 506) = ( 358 x 506 ) / 90574

= 358 / 506

= 358

Step2:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

Step3:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

So, Greatest Common Divisor of 358, 506, 182, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 796, 580, 420, 314
• GCD of 471, 445, 980, 102
• GCD of 695, 845, 584, 250
• GCD of 770, 980, 288, 220
• GCD of 701, 261, 832, 785

Given numbers are 358, 506, 182, 524
The greatest common divisor of numbers 358, 506, 182, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 506, 182, 524 is 2.

1. What is the GCD of 358, 506, 182, 524?

GCD of given numbers 358, 506, 182, 524 is 2

2. How to calculate the greatest common divisor of 358, 506, 182, 524?

We can find the highest common divisor of 358, 506, 182, 524 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 358, 506, 182, 524 i.e 2.

3. How can I use the GCD of 358, 506, 182, 524Calculator?

Out the numbers 358, 506, 182, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.