GCD of 689, 936, 458, 320 Calculator

Given Input numbers are 689, 936, 458, 320

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 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (689, 936, 458, 320) = 1.

Given numbers are 689, 936, 458, 320

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 458 are 2 x 229

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 689, 936, 458, 320

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

Apply this formula for all numbers.

Step1:

LCM(689, 936) = 49608

GCD(689, 936) = ( 689 x 936 ) / 49608

= 689 / 936

= 689

Step2:

LCM(13, 458) = 5954

GCD(13, 458) = ( 13 x 458 ) / 5954

= 13 / 458

= 13

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 689, 936, 458, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 620, 521, 931
• GCD of 213, 983, 657, 813
• GCD of 862, 887, 316, 857
• GCD of 312, 340, 440, 299
• GCD of 608, 645, 851, 330

Given numbers are 689, 936, 458, 320
The greatest common divisor of numbers 689, 936, 458, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 936, 458, 320 is 1.

1. What is the GCD of 689, 936, 458, 320?

GCD of given numbers 689, 936, 458, 320 is 1

2. How to calculate the greatest common divisor of 689, 936, 458, 320?

We can find the highest common divisor of 689, 936, 458, 320 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, 936, 458, 320 i.e 1.

3. How can I use the GCD of 689, 936, 458, 320Calculator?

Out the numbers 689, 936, 458, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.