GCD of 689, 730, 896, 396 Calculator

Given Input numbers are 689, 730, 896, 396

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 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (689, 730, 896, 396) = 1.

Given numbers are 689, 730, 896, 396

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 730 are 2 x 5 x 73

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

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

Given numbers are 689, 730, 896, 396

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

Apply this formula for all numbers.

Step1:

LCM(689, 730) = 502970

GCD(689, 730) = ( 689 x 730 ) / 502970

= 689 / 730

= 689

Step2:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1

Step3:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

So, Greatest Common Divisor of 689, 730, 896, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 176, 362, 265
• GCD of 691, 717, 304, 134
• GCD of 335, 232, 934, 990
• GCD of 828, 973, 599, 791
• GCD of 740, 955, 646, 714

Given numbers are 689, 730, 896, 396
The greatest common divisor of numbers 689, 730, 896, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 730, 896, 396 is 1.

1. What is the GCD of 689, 730, 896, 396?

GCD of given numbers 689, 730, 896, 396 is 1

2. How to calculate the greatest common divisor of 689, 730, 896, 396?

We can find the highest common divisor of 689, 730, 896, 396 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, 730, 896, 396 i.e 1.

3. How can I use the GCD of 689, 730, 896, 396Calculator?

Out the numbers 689, 730, 896, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.