GCD of 200, 888, 689, 553 Calculator

Given Input numbers are 200, 888, 689, 553

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 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 553 :

The positive integer divisors of 553 that completely divides 553 are.

1, 7, 79, 553

GCD of numbers is the greatest common divisor

So, the GCD (200, 888, 689, 553) = 1.

Given numbers are 200, 888, 689, 553

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 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 689 are 13 x 53

Prime factors of 553 are 7 x 79

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

Given numbers are 200, 888, 689, 553

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

Apply this formula for all numbers.

Step1:

LCM(200, 888) = 22200

GCD(200, 888) = ( 200 x 888 ) / 22200

= 200 / 888

= 200

Step2:

LCM(8, 689) = 5512

GCD(8, 689) = ( 8 x 689 ) / 5512

= 8 / 689

= 8

Step3:

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

= 1 / 553

= 1

So, Greatest Common Divisor of 200, 888, 689, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 899, 813, 808
• GCD of 414, 282, 875, 134
• GCD of 445, 603, 685, 182
• GCD of 783, 511, 608, 708
• GCD of 384, 577, 326, 966

Given numbers are 200, 888, 689, 553
The greatest common divisor of numbers 200, 888, 689, 553 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 888, 689, 553 is 1.

1. What is the GCD of 200, 888, 689, 553?

GCD of given numbers 200, 888, 689, 553 is 1

2. How to calculate the greatest common divisor of 200, 888, 689, 553?

We can find the highest common divisor of 200, 888, 689, 553 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, 888, 689, 553 i.e 1.

3. How can I use the GCD of 200, 888, 689, 553Calculator?

Out the numbers 200, 888, 689, 553 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.