GCD of 400, 800, 586, 270 Calculator

Given Input numbers are 400, 800, 586, 270

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

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 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 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

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

GCD of numbers is the greatest common divisor

So, the GCD (400, 800, 586, 270) = 2.

Given numbers are 400, 800, 586, 270

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Prime factors of 586 are 2 x 293

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 400, 800, 586, 270 is 2.

Given numbers are 400, 800, 586, 270

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

Apply this formula for all numbers.

Step1:

LCM(400, 800) = 800

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

= 400 / 800

= 400

Step2:

LCM(400, 586) = 117200

GCD(400, 586) = ( 400 x 586 ) / 117200

= 400 / 586

= 400

Step3:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

So, Greatest Common Divisor of 400, 800, 586, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 736, 981, 853
• GCD of 630, 822, 972, 785
• GCD of 388, 494, 932, 716
• GCD of 598, 519, 280, 253
• GCD of 847, 977, 851, 249

Given numbers are 400, 800, 586, 270
The greatest common divisor of numbers 400, 800, 586, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 800, 586, 270 is 2.

1. What is the GCD of 400, 800, 586, 270?

GCD of given numbers 400, 800, 586, 270 is 2

2. How to calculate the greatest common divisor of 400, 800, 586, 270?

We can find the highest common divisor of 400, 800, 586, 270 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 400, 800, 586, 270 i.e 2.

3. How can I use the GCD of 400, 800, 586, 270Calculator?

Out the numbers 400, 800, 586, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.