GCD of 200, 270, 805 Calculator

Given Input numbers are 200, 270, 805

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

GCD of numbers is the greatest common divisor

So, the GCD (200, 270, 805) = 5.

Given numbers are 200, 270, 805

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 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 805 are 5 x 7 x 23

The highest common occurrence is 5¹

Therefore, GCD of 200, 270, 805 is 5.

Given numbers are 200, 270, 805

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

Apply this formula for all numbers.

Step1:

LCM(200, 270) = 5400

GCD(200, 270) = ( 200 x 270 ) / 5400

= 200 / 270

= 200

Step2:

LCM(10, 805) = 1610

GCD(10, 805) = ( 10 x 805 ) / 1610

= 10 / 805

= 10

So, Greatest Common Divisor of 200, 270, 805 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 247, 143
• GCD of 520, 476, 478
• GCD of 646, 482, 493
• GCD of 955, 407, 836
• GCD of 754, 623, 471

Given numbers are 200, 270, 805
The greatest common divisor of numbers 200, 270, 805 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 270, 805 is 5.

1. What is the GCD of 200, 270, 805?

GCD of given numbers 200, 270, 805 is 5

2. How to calculate the greatest common divisor of 200, 270, 805?

We can find the highest common divisor of 200, 270, 805 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, 270, 805 i.e 5.

3. How can I use the GCD of 200, 270, 805Calculator?

Out the numbers 200, 270, 805 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.