GCD of 588, 826, 400, 204 Calculator

Given Input numbers are 588, 826, 400, 204

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

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (588, 826, 400, 204) = 2.

Given numbers are 588, 826, 400, 204

The list of prime factors of all numbers are

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

Prime factors of 826 are 2 x 7 x 59

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 588, 826, 400, 204 is 2.

Given numbers are 588, 826, 400, 204

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

Apply this formula for all numbers.

Step1:

LCM(588, 826) = 34692

GCD(588, 826) = ( 588 x 826 ) / 34692

= 588 / 826

= 588

Step2:

LCM(14, 400) = 2800

GCD(14, 400) = ( 14 x 400 ) / 2800

= 14 / 400

= 14

Step3:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

So, Greatest Common Divisor of 588, 826, 400, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 604, 769, 930
• GCD of 902, 970, 147, 591
• GCD of 628, 188, 534, 154
• GCD of 286, 147, 269, 745
• GCD of 208, 380, 995, 134

Given numbers are 588, 826, 400, 204
The greatest common divisor of numbers 588, 826, 400, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 826, 400, 204 is 2.

1. What is the GCD of 588, 826, 400, 204?

GCD of given numbers 588, 826, 400, 204 is 2

2. How to calculate the greatest common divisor of 588, 826, 400, 204?

We can find the highest common divisor of 588, 826, 400, 204 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 588, 826, 400, 204 i.e 2.

3. How can I use the GCD of 588, 826, 400, 204Calculator?

Out the numbers 588, 826, 400, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.