GCD of 689, 896, 149, 393 Calculator

Given Input numbers are 689, 896, 149, 393

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 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 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

GCD of numbers is the greatest common divisor

So, the GCD (689, 896, 149, 393) = 1.

Given numbers are 689, 896, 149, 393

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

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

Prime factors of 149 are 149

Prime factors of 393 are 3 x 131

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

Given numbers are 689, 896, 149, 393

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

Apply this formula for all numbers.

Step1:

LCM(689, 896) = 617344

GCD(689, 896) = ( 689 x 896 ) / 617344

= 689 / 896

= 689

Step2:

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

= 1 / 149

= 1

Step3:

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

= 1 / 393

= 1

So, Greatest Common Divisor of 689, 896, 149, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 728, 807, 132
• GCD of 600, 740, 920, 343
• GCD of 922, 416, 386, 176
• GCD of 917, 133, 500, 997
• GCD of 825, 417, 905, 370

Given numbers are 689, 896, 149, 393
The greatest common divisor of numbers 689, 896, 149, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 896, 149, 393 is 1.

1. What is the GCD of 689, 896, 149, 393?

GCD of given numbers 689, 896, 149, 393 is 1

2. How to calculate the greatest common divisor of 689, 896, 149, 393?

We can find the highest common divisor of 689, 896, 149, 393 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, 896, 149, 393 i.e 1.

3. How can I use the GCD of 689, 896, 149, 393Calculator?

Out the numbers 689, 896, 149, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.