GCD of 200, 864, 119, 869 Calculator

Given Input numbers are 200, 864, 119, 869

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 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

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 (200, 864, 119, 869) = 1.

Given numbers are 200, 864, 119, 869

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 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 119 are 7 x 17

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 200, 864, 119, 869

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

Apply this formula for all numbers.

Step1:

LCM(200, 864) = 21600

GCD(200, 864) = ( 200 x 864 ) / 21600

= 200 / 864

= 200

Step2:

LCM(8, 119) = 952

GCD(8, 119) = ( 8 x 119 ) / 952

= 8 / 119

= 8

Step3:

LCM(1, 869) = 869

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

= 1 / 869

= 1

So, Greatest Common Divisor of 200, 864, 119, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 815, 290, 524
• GCD of 784, 276, 118, 348
• GCD of 890, 173, 760, 494
• GCD of 908, 286, 103, 638
• GCD of 827, 270, 454, 377

Given numbers are 200, 864, 119, 869
The greatest common divisor of numbers 200, 864, 119, 869 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 864, 119, 869 is 1.

1. What is the GCD of 200, 864, 119, 869?

GCD of given numbers 200, 864, 119, 869 is 1

2. How to calculate the greatest common divisor of 200, 864, 119, 869?

We can find the highest common divisor of 200, 864, 119, 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 200, 864, 119, 869 i.e 1.

3. How can I use the GCD of 200, 864, 119, 869Calculator?

Out the numbers 200, 864, 119, 869 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.