GCD of 200, 900, 355, 357 Calculator

Given Input numbers are 200, 900, 355, 357

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 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (200, 900, 355, 357) = 1.

Given numbers are 200, 900, 355, 357

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 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 355 are 5 x 71

Prime factors of 357 are 3 x 7 x 17

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

Given numbers are 200, 900, 355, 357

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

Apply this formula for all numbers.

Step1:

LCM(200, 900) = 1800

GCD(200, 900) = ( 200 x 900 ) / 1800

= 200 / 900

= 200

Step2:

LCM(100, 355) = 7100

GCD(100, 355) = ( 100 x 355 ) / 7100

= 100 / 355

= 100

Step3:

LCM(5, 357) = 1785

GCD(5, 357) = ( 5 x 357 ) / 1785

= 5 / 357

= 5

So, Greatest Common Divisor of 200, 900, 355, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 137, 148, 751, 137
• GCD of 429, 556, 369, 662
• GCD of 580, 543, 696, 871
• GCD of 995, 433, 370, 662
• GCD of 823, 590, 780, 288

Given numbers are 200, 900, 355, 357
The greatest common divisor of numbers 200, 900, 355, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 900, 355, 357 is 1.

1. What is the GCD of 200, 900, 355, 357?

GCD of given numbers 200, 900, 355, 357 is 1

2. How to calculate the greatest common divisor of 200, 900, 355, 357?

We can find the highest common divisor of 200, 900, 355, 357 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, 900, 355, 357 i.e 1.

3. How can I use the GCD of 200, 900, 355, 357Calculator?

Out the numbers 200, 900, 355, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.