GCD of 697, 407, 460, 432 Calculator

Given Input numbers are 697, 407, 460, 432

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

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (697, 407, 460, 432) = 1.

Given numbers are 697, 407, 460, 432

The list of prime factors of all numbers are

Prime factors of 697 are 17 x 41

Prime factors of 407 are 11 x 37

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 697, 407, 460, 432

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

Apply this formula for all numbers.

Step1:

LCM(697, 407) = 283679

GCD(697, 407) = ( 697 x 407 ) / 283679

= 697 / 407

= 697

Step2:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

So, Greatest Common Divisor of 697, 407, 460, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 893, 569, 260
• GCD of 818, 166, 265, 553
• GCD of 511, 106, 151, 838
• GCD of 416, 513, 861, 303
• GCD of 812, 820, 406, 768

Given numbers are 697, 407, 460, 432
The greatest common divisor of numbers 697, 407, 460, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 407, 460, 432 is 1.

1. What is the GCD of 697, 407, 460, 432?

GCD of given numbers 697, 407, 460, 432 is 1

2. How to calculate the greatest common divisor of 697, 407, 460, 432?

We can find the highest common divisor of 697, 407, 460, 432 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 697, 407, 460, 432 i.e 1.

3. How can I use the GCD of 697, 407, 460, 432Calculator?

Out the numbers 697, 407, 460, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.