GCD of 400, 998, 431, 309 Calculator

Given Input numbers are 400, 998, 431, 309

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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 431 :

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

1, 431

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (400, 998, 431, 309) = 1.

Given numbers are 400, 998, 431, 309

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 998 are 2 x 499

Prime factors of 431 are 431

Prime factors of 309 are 3 x 103

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

Given numbers are 400, 998, 431, 309

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

Apply this formula for all numbers.

Step1:

LCM(400, 998) = 199600

GCD(400, 998) = ( 400 x 998 ) / 199600

= 400 / 998

= 400

Step2:

LCM(2, 431) = 862

GCD(2, 431) = ( 2 x 431 ) / 862

= 2 / 431

= 2

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 400, 998, 431, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 792, 750, 744
• GCD of 620, 592, 401, 365
• GCD of 501, 405, 829, 250
• GCD of 118, 982, 619, 738
• GCD of 945, 571, 721, 657

Given numbers are 400, 998, 431, 309
The greatest common divisor of numbers 400, 998, 431, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 998, 431, 309 is 1.

1. What is the GCD of 400, 998, 431, 309?

GCD of given numbers 400, 998, 431, 309 is 1

2. How to calculate the greatest common divisor of 400, 998, 431, 309?

We can find the highest common divisor of 400, 998, 431, 309 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, 998, 431, 309 i.e 1.

3. How can I use the GCD of 400, 998, 431, 309Calculator?

Out the numbers 400, 998, 431, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.