GCD of 408, 462, 957, 311 Calculator

Given Input numbers are 408, 462, 957, 311

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

GCD of numbers is the greatest common divisor

So, the GCD (408, 462, 957, 311) = 1.

Given numbers are 408, 462, 957, 311

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 957 are 3 x 11 x 29

Prime factors of 311 are 311

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

Given numbers are 408, 462, 957, 311

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

Apply this formula for all numbers.

Step1:

LCM(408, 462) = 31416

GCD(408, 462) = ( 408 x 462 ) / 31416

= 408 / 462

= 408

Step2:

LCM(6, 957) = 1914

GCD(6, 957) = ( 6 x 957 ) / 1914

= 6 / 957

= 6

Step3:

LCM(3, 311) = 933

GCD(3, 311) = ( 3 x 311 ) / 933

= 3 / 311

= 3

So, Greatest Common Divisor of 408, 462, 957, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 824, 552, 205
• GCD of 438, 253, 265, 686
• GCD of 982, 861, 200, 651
• GCD of 382, 305, 437, 394
• GCD of 565, 215, 860, 424

Given numbers are 408, 462, 957, 311
The greatest common divisor of numbers 408, 462, 957, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 462, 957, 311 is 1.

1. What is the GCD of 408, 462, 957, 311?

GCD of given numbers 408, 462, 957, 311 is 1

2. How to calculate the greatest common divisor of 408, 462, 957, 311?

We can find the highest common divisor of 408, 462, 957, 311 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 408, 462, 957, 311 i.e 1.

3. How can I use the GCD of 408, 462, 957, 311Calculator?

Out the numbers 408, 462, 957, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.