GCD of 361, 290, 200, 600 Calculator

Given Input numbers are 361, 290, 200, 600

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 290 :

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

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

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 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (361, 290, 200, 600) = 1.

Given numbers are 361, 290, 200, 600

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 290 are 2 x 5 x 29

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

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Given numbers are 361, 290, 200, 600

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

Apply this formula for all numbers.

Step1:

LCM(361, 290) = 104690

GCD(361, 290) = ( 361 x 290 ) / 104690

= 361 / 290

= 361

Step2:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 361, 290, 200, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 902, 951, 151
• GCD of 337, 442, 366, 534
• GCD of 133, 904, 948, 234
• GCD of 302, 369, 785, 605
• GCD of 219, 962, 700, 791

Given numbers are 361, 290, 200, 600
The greatest common divisor of numbers 361, 290, 200, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 290, 200, 600 is 1.

1. What is the GCD of 361, 290, 200, 600?

GCD of given numbers 361, 290, 200, 600 is 1

2. How to calculate the greatest common divisor of 361, 290, 200, 600?

We can find the highest common divisor of 361, 290, 200, 600 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 361, 290, 200, 600 i.e 1.

3. How can I use the GCD of 361, 290, 200, 600Calculator?

Out the numbers 361, 290, 200, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.