GCD of 200, 430, 489, 824 Calculator

Given Input numbers are 200, 430, 489, 824

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

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

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (200, 430, 489, 824) = 1.

Given numbers are 200, 430, 489, 824

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 430 are 2 x 5 x 43

Prime factors of 489 are 3 x 163

Prime factors of 824 are 2 x 2 x 2 x 103

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 200, 430, 489, 824

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

Apply this formula for all numbers.

Step1:

LCM(200, 430) = 8600

GCD(200, 430) = ( 200 x 430 ) / 8600

= 200 / 430

= 200

Step2:

LCM(10, 489) = 4890

GCD(10, 489) = ( 10 x 489 ) / 4890

= 10 / 489

= 10

Step3:

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

= 1 / 824

= 1

So, Greatest Common Divisor of 200, 430, 489, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 746, 794, 835
• GCD of 894, 773, 660, 136
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Given numbers are 200, 430, 489, 824
The greatest common divisor of numbers 200, 430, 489, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 430, 489, 824 is 1.

1. What is the GCD of 200, 430, 489, 824?

GCD of given numbers 200, 430, 489, 824 is 1

2. How to calculate the greatest common divisor of 200, 430, 489, 824?

We can find the highest common divisor of 200, 430, 489, 824 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 200, 430, 489, 824 i.e 1.

3. How can I use the GCD of 200, 430, 489, 824Calculator?

Out the numbers 200, 430, 489, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.