GCD of 689, 728, 652, 408 Calculator

Given Input numbers are 689, 728, 652, 408

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

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

GCD of numbers is the greatest common divisor

So, the GCD (689, 728, 652, 408) = 1.

Given numbers are 689, 728, 652, 408

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 652 are 2 x 2 x 163

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

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

Given numbers are 689, 728, 652, 408

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

Apply this formula for all numbers.

Step1:

LCM(689, 728) = 38584

GCD(689, 728) = ( 689 x 728 ) / 38584

= 689 / 728

= 689

Step2:

LCM(13, 652) = 8476

GCD(13, 652) = ( 13 x 652 ) / 8476

= 13 / 652

= 13

Step3:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

So, Greatest Common Divisor of 689, 728, 652, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 703, 951, 242
• GCD of 225, 479, 541, 237
• GCD of 687, 476, 464, 272
• GCD of 388, 719, 466, 702
• GCD of 795, 540, 251, 951

Given numbers are 689, 728, 652, 408
The greatest common divisor of numbers 689, 728, 652, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 728, 652, 408 is 1.

1. What is the GCD of 689, 728, 652, 408?

GCD of given numbers 689, 728, 652, 408 is 1

2. How to calculate the greatest common divisor of 689, 728, 652, 408?

We can find the highest common divisor of 689, 728, 652, 408 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 689, 728, 652, 408 i.e 1.

3. How can I use the GCD of 689, 728, 652, 408Calculator?

Out the numbers 689, 728, 652, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.