GCD of 400, 214, 194, 580 Calculator

Given Input numbers are 400, 214, 194, 580

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

GCD of numbers is the greatest common divisor

So, the GCD (400, 214, 194, 580) = 2.

Given numbers are 400, 214, 194, 580

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 214 are 2 x 107

Prime factors of 194 are 2 x 97

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 400, 214, 194, 580 is 2.

Given numbers are 400, 214, 194, 580

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

Apply this formula for all numbers.

Step1:

LCM(400, 214) = 42800

GCD(400, 214) = ( 400 x 214 ) / 42800

= 400 / 214

= 400

Step2:

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

= 2 / 194

= 2

Step3:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2

So, Greatest Common Divisor of 400, 214, 194, 580 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 747, 300, 779
• GCD of 842, 299, 986, 486
• GCD of 602, 668, 591, 205
• GCD of 281, 862, 946, 851
• GCD of 466, 551, 394, 541

Given numbers are 400, 214, 194, 580
The greatest common divisor of numbers 400, 214, 194, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 214, 194, 580 is 2.

1. What is the GCD of 400, 214, 194, 580?

GCD of given numbers 400, 214, 194, 580 is 2

2. How to calculate the greatest common divisor of 400, 214, 194, 580?

We can find the highest common divisor of 400, 214, 194, 580 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, 214, 194, 580 i.e 2.

3. How can I use the GCD of 400, 214, 194, 580Calculator?

Out the numbers 400, 214, 194, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.