GCD of 431, 131, 420, 409 Calculator

Given Input numbers are 431, 131, 420, 409

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

Divisors of 431 :

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

1, 431

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 409 :

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

1, 409

GCD of numbers is the greatest common divisor

So, the GCD (431, 131, 420, 409) = 1.

Given numbers are 431, 131, 420, 409

The list of prime factors of all numbers are

Prime factors of 431 are 431

Prime factors of 131 are 131

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 409 are 409

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

Given numbers are 431, 131, 420, 409

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

Apply this formula for all numbers.

Step1:

LCM(431, 131) = 56461

GCD(431, 131) = ( 431 x 131 ) / 56461

= 431 / 131

= 431

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

= 1 / 409

= 1

So, Greatest Common Divisor of 431, 131, 420, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 688, 466, 187
• GCD of 964, 322, 727, 189
• GCD of 298, 252, 418, 269
• GCD of 258, 245, 565, 289
• GCD of 957, 309, 962, 561

Given numbers are 431, 131, 420, 409
The greatest common divisor of numbers 431, 131, 420, 409 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 431, 131, 420, 409 is 1.

1. What is the GCD of 431, 131, 420, 409?

GCD of given numbers 431, 131, 420, 409 is 1

2. How to calculate the greatest common divisor of 431, 131, 420, 409?

We can find the highest common divisor of 431, 131, 420, 409 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 431, 131, 420, 409 i.e 1.

3. How can I use the GCD of 431, 131, 420, 409Calculator?

Out the numbers 431, 131, 420, 409 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.