GCD of 200, 369, 342, 849 Calculator

Given Input numbers are 200, 369, 342, 849

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (200, 369, 342, 849) = 1.

Given numbers are 200, 369, 342, 849

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 369 are 3 x 3 x 41

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 849 are 3 x 283

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

Given numbers are 200, 369, 342, 849

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

Apply this formula for all numbers.

Step1:

LCM(200, 369) = 73800

GCD(200, 369) = ( 200 x 369 ) / 73800

= 200 / 369

= 200

Step2:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

Step3:

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

= 1 / 849

= 1

So, Greatest Common Divisor of 200, 369, 342, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 433, 905, 209
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Given numbers are 200, 369, 342, 849
The greatest common divisor of numbers 200, 369, 342, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 369, 342, 849 is 1.

1. What is the GCD of 200, 369, 342, 849?

GCD of given numbers 200, 369, 342, 849 is 1

2. How to calculate the greatest common divisor of 200, 369, 342, 849?

We can find the highest common divisor of 200, 369, 342, 849 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, 369, 342, 849 i.e 1.

3. How can I use the GCD of 200, 369, 342, 849Calculator?

Out the numbers 200, 369, 342, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.