GCD of 800, 400, 170, 687 Calculator

Given Input numbers are 800, 400, 170, 687

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (800, 400, 170, 687) = 1.

Given numbers are 800, 400, 170, 687

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 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 170 are 2 x 5 x 17

Prime factors of 687 are 3 x 229

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

Given numbers are 800, 400, 170, 687

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

Apply this formula for all numbers.

Step1:

LCM(800, 400) = 800

GCD(800, 400) = ( 800 x 400 ) / 800

= 800 / 400

= 800

Step2:

LCM(400, 170) = 6800

GCD(400, 170) = ( 400 x 170 ) / 6800

= 400 / 170

= 400

Step3:

LCM(10, 687) = 6870

GCD(10, 687) = ( 10 x 687 ) / 6870

= 10 / 687

= 10

So, Greatest Common Divisor of 800, 400, 170, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 994, 865, 185
• GCD of 853, 893, 607, 466
• GCD of 491, 611, 929, 206
• GCD of 830, 977, 476, 206
• GCD of 874, 865, 162, 762

Given numbers are 800, 400, 170, 687
The greatest common divisor of numbers 800, 400, 170, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 400, 170, 687 is 1.

1. What is the GCD of 800, 400, 170, 687?

GCD of given numbers 800, 400, 170, 687 is 1

2. How to calculate the greatest common divisor of 800, 400, 170, 687?

We can find the highest common divisor of 800, 400, 170, 687 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, 400, 170, 687 i.e 1.

3. How can I use the GCD of 800, 400, 170, 687Calculator?

Out the numbers 800, 400, 170, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.