GCD of 356, 514, 800, 404 Calculator

Given Input numbers are 356, 514, 800, 404

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (356, 514, 800, 404) = 2.

Given numbers are 356, 514, 800, 404

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 514 are 2 x 257

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 404 are 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 356, 514, 800, 404 is 2.

Given numbers are 356, 514, 800, 404

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

Apply this formula for all numbers.

Step1:

LCM(356, 514) = 91492

GCD(356, 514) = ( 356 x 514 ) / 91492

= 356 / 514

= 356

Step2:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

Step3:

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

= 2 / 404

= 2

So, Greatest Common Divisor of 356, 514, 800, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 208, 585, 278
• GCD of 322, 932, 656, 224
• GCD of 169, 412, 988, 213
• GCD of 221, 183, 422, 417
• GCD of 520, 999, 782, 653

Given numbers are 356, 514, 800, 404
The greatest common divisor of numbers 356, 514, 800, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 514, 800, 404 is 2.

1. What is the GCD of 356, 514, 800, 404?

GCD of given numbers 356, 514, 800, 404 is 2

2. How to calculate the greatest common divisor of 356, 514, 800, 404?

We can find the highest common divisor of 356, 514, 800, 404 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 356, 514, 800, 404 i.e 2.

3. How can I use the GCD of 356, 514, 800, 404Calculator?

Out the numbers 356, 514, 800, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.