GCD of 800, 135, 870, 562 Calculator

Given Input numbers are 800, 135, 870, 562

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 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

GCD of numbers is the greatest common divisor

So, the GCD (800, 135, 870, 562) = 1.

Given numbers are 800, 135, 870, 562

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 135 are 3 x 3 x 3 x 5

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 562 are 2 x 281

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

Given numbers are 800, 135, 870, 562

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

Apply this formula for all numbers.

Step1:

LCM(800, 135) = 21600

GCD(800, 135) = ( 800 x 135 ) / 21600

= 800 / 135

= 800

Step2:

LCM(5, 870) = 870

GCD(5, 870) = ( 5 x 870 ) / 870

= 5 / 870

= 5

Step3:

LCM(5, 562) = 2810

GCD(5, 562) = ( 5 x 562 ) / 2810

= 5 / 562

= 5

So, Greatest Common Divisor of 800, 135, 870, 562 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 241, 569, 959
• GCD of 663, 659, 861, 493
• GCD of 382, 829, 842, 148
• GCD of 145, 970, 803, 663
• GCD of 652, 445, 546, 168

Given numbers are 800, 135, 870, 562
The greatest common divisor of numbers 800, 135, 870, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 135, 870, 562 is 1.

1. What is the GCD of 800, 135, 870, 562?

GCD of given numbers 800, 135, 870, 562 is 1

2. How to calculate the greatest common divisor of 800, 135, 870, 562?

We can find the highest common divisor of 800, 135, 870, 562 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, 135, 870, 562 i.e 1.

3. How can I use the GCD of 800, 135, 870, 562Calculator?

Out the numbers 800, 135, 870, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.