GCD of 800, 368, 290, 524 Calculator

Given Input numbers are 800, 368, 290, 524

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

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 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

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 (800, 368, 290, 524) = 2.

Given numbers are 800, 368, 290, 524

The list of prime factors of all numbers are

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

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 290 are 2 x 5 x 29

Prime factors of 524 are 2 x 2 x 131

The highest common occurrence is 2¹

Therefore, GCD of 800, 368, 290, 524 is 2.

Given numbers are 800, 368, 290, 524

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

Apply this formula for all numbers.

Step1:

LCM(800, 368) = 18400

GCD(800, 368) = ( 800 x 368 ) / 18400

= 800 / 368

= 800

Step2:

LCM(16, 290) = 2320

GCD(16, 290) = ( 16 x 290 ) / 2320

= 16 / 290

= 16

Step3:

LCM(2, 524) = 524

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

= 2 / 524

= 2

So, Greatest Common Divisor of 800, 368, 290, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 367, 381, 295
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• GCD of 271, 958, 906, 247
• GCD of 317, 828, 426, 296
• GCD of 549, 505, 531, 461

Given numbers are 800, 368, 290, 524
The greatest common divisor of numbers 800, 368, 290, 524 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 368, 290, 524 is 2.

1. What is the GCD of 800, 368, 290, 524?

GCD of given numbers 800, 368, 290, 524 is 2

2. How to calculate the greatest common divisor of 800, 368, 290, 524?

We can find the highest common divisor of 800, 368, 290, 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 800, 368, 290, 524 i.e 2.

3. How can I use the GCD of 800, 368, 290, 524Calculator?

Out the numbers 800, 368, 290, 524 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.