GCD of 800, 561, 955, 689 Calculator

Given Input numbers are 800, 561, 955, 689

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 955 :

The positive integer divisors of 955 that completely divides 955 are.

1, 5, 191, 955

Divisors of 689 :

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

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (800, 561, 955, 689) = 1.

Given numbers are 800, 561, 955, 689

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 561 are 3 x 11 x 17

Prime factors of 955 are 5 x 191

Prime factors of 689 are 13 x 53

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

Given numbers are 800, 561, 955, 689

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

Apply this formula for all numbers.

Step1:

LCM(800, 561) = 448800

GCD(800, 561) = ( 800 x 561 ) / 448800

= 800 / 561

= 800

Step2:

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

= 1 / 955

= 1

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 800, 561, 955, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 281, 791, 370
• GCD of 823, 447, 969, 505
• GCD of 612, 915, 925, 472
• GCD of 520, 147, 410, 436
• GCD of 730, 120, 770, 443

Given numbers are 800, 561, 955, 689
The greatest common divisor of numbers 800, 561, 955, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 561, 955, 689 is 1.

1. What is the GCD of 800, 561, 955, 689?

GCD of given numbers 800, 561, 955, 689 is 1

2. How to calculate the greatest common divisor of 800, 561, 955, 689?

We can find the highest common divisor of 800, 561, 955, 689 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 800, 561, 955, 689 i.e 1.

3. How can I use the GCD of 800, 561, 955, 689Calculator?

Out the numbers 800, 561, 955, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.