GCD of 390, 409, 969, 431 Calculator

Given Input numbers are 390, 409, 969, 431

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 431 :

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

1, 431

GCD of numbers is the greatest common divisor

So, the GCD (390, 409, 969, 431) = 1.

Given numbers are 390, 409, 969, 431

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 409 are 409

Prime factors of 969 are 3 x 17 x 19

Prime factors of 431 are 431

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

Given numbers are 390, 409, 969, 431

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

Apply this formula for all numbers.

Step1:

LCM(390, 409) = 159510

GCD(390, 409) = ( 390 x 409 ) / 159510

= 390 / 409

= 390

Step2:

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

= 1 / 969

= 1

Step3:

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

= 1 / 431

= 1

So, Greatest Common Divisor of 390, 409, 969, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 442, 302, 443, 990
• GCD of 750, 977, 289, 831
• GCD of 574, 552, 932, 123
• GCD of 997, 338, 789, 800
• GCD of 756, 173, 744, 548

Given numbers are 390, 409, 969, 431
The greatest common divisor of numbers 390, 409, 969, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 409, 969, 431 is 1.

1. What is the GCD of 390, 409, 969, 431?

GCD of given numbers 390, 409, 969, 431 is 1

2. How to calculate the greatest common divisor of 390, 409, 969, 431?

We can find the highest common divisor of 390, 409, 969, 431 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 390, 409, 969, 431 i.e 1.

3. How can I use the GCD of 390, 409, 969, 431Calculator?

Out the numbers 390, 409, 969, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.