GCD of 400, 220, 431, 472 Calculator

Given Input numbers are 400, 220, 431, 472

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

GCD of numbers is the greatest common divisor

So, the GCD (400, 220, 431, 472) = 1.

Given numbers are 400, 220, 431, 472

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 220 are 2 x 2 x 5 x 11

Prime factors of 431 are 431

Prime factors of 472 are 2 x 2 x 2 x 59

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

Given numbers are 400, 220, 431, 472

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

Apply this formula for all numbers.

Step1:

LCM(400, 220) = 4400

GCD(400, 220) = ( 400 x 220 ) / 4400

= 400 / 220

= 400

Step2:

LCM(20, 431) = 8620

GCD(20, 431) = ( 20 x 431 ) / 8620

= 20 / 431

= 20

Step3:

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

= 1 / 472

= 1

So, Greatest Common Divisor of 400, 220, 431, 472 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 454, 218, 275
• GCD of 750, 176, 736, 265
• GCD of 645, 973, 714, 655
• GCD of 381, 813, 915, 613
• GCD of 842, 789, 723, 816

Given numbers are 400, 220, 431, 472
The greatest common divisor of numbers 400, 220, 431, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 220, 431, 472 is 1.

1. What is the GCD of 400, 220, 431, 472?

GCD of given numbers 400, 220, 431, 472 is 1

2. How to calculate the greatest common divisor of 400, 220, 431, 472?

We can find the highest common divisor of 400, 220, 431, 472 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, 220, 431, 472 i.e 1.

3. How can I use the GCD of 400, 220, 431, 472Calculator?

Out the numbers 400, 220, 431, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.