GCD of 300, 828, 586, 358 Calculator

Given Input numbers are 300, 828, 586, 358

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 358 :

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

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (300, 828, 586, 358) = 2.

Given numbers are 300, 828, 586, 358

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 586 are 2 x 293

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 300, 828, 586, 358 is 2.

Given numbers are 300, 828, 586, 358

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

Apply this formula for all numbers.

Step1:

LCM(300, 828) = 20700

GCD(300, 828) = ( 300 x 828 ) / 20700

= 300 / 828

= 300

Step2:

LCM(12, 586) = 3516

GCD(12, 586) = ( 12 x 586 ) / 3516

= 12 / 586

= 12

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 300, 828, 586, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 840, 203, 940
• GCD of 399, 896, 192, 347
• GCD of 669, 426, 185, 930
• GCD of 499, 121, 268, 988
• GCD of 558, 597, 372, 856

Given numbers are 300, 828, 586, 358
The greatest common divisor of numbers 300, 828, 586, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 828, 586, 358 is 2.

1. What is the GCD of 300, 828, 586, 358?

GCD of given numbers 300, 828, 586, 358 is 2

2. How to calculate the greatest common divisor of 300, 828, 586, 358?

We can find the highest common divisor of 300, 828, 586, 358 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 300, 828, 586, 358 i.e 2.

3. How can I use the GCD of 300, 828, 586, 358Calculator?

Out the numbers 300, 828, 586, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.