GCD of 243, 900, 200, 869 Calculator

Given Input numbers are 243, 900, 200, 869

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

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

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 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 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

GCD of numbers is the greatest common divisor

So, the GCD (243, 900, 200, 869) = 1.

Given numbers are 243, 900, 200, 869

The list of prime factors of all numbers are

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Prime factors of 869 are 11 x 79

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

Given numbers are 243, 900, 200, 869

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

Apply this formula for all numbers.

Step1:

LCM(243, 900) = 24300

GCD(243, 900) = ( 243 x 900 ) / 24300

= 243 / 900

= 243

Step2:

LCM(9, 200) = 1800

GCD(9, 200) = ( 9 x 200 ) / 1800

= 9 / 200

= 9

Step3:

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

= 1 / 869

= 1

So, Greatest Common Divisor of 243, 900, 200, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 410, 225, 489
• GCD of 160, 620, 614, 606
• GCD of 632, 299, 843, 316
• GCD of 160, 112, 390, 883
• GCD of 625, 459, 333, 583

Given numbers are 243, 900, 200, 869
The greatest common divisor of numbers 243, 900, 200, 869 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 900, 200, 869 is 1.

1. What is the GCD of 243, 900, 200, 869?

GCD of given numbers 243, 900, 200, 869 is 1

2. How to calculate the greatest common divisor of 243, 900, 200, 869?

We can find the highest common divisor of 243, 900, 200, 869 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 243, 900, 200, 869 i.e 1.

3. How can I use the GCD of 243, 900, 200, 869Calculator?

Out the numbers 243, 900, 200, 869 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.