GCD of 689, 320, 286, 136 Calculator

Given Input numbers are 689, 320, 286, 136

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 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

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

GCD of numbers is the greatest common divisor

So, the GCD (689, 320, 286, 136) = 1.

Given numbers are 689, 320, 286, 136

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

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

Prime factors of 286 are 2 x 11 x 13

Prime factors of 136 are 2 x 2 x 2 x 17

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

Given numbers are 689, 320, 286, 136

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

Apply this formula for all numbers.

Step1:

LCM(689, 320) = 220480

GCD(689, 320) = ( 689 x 320 ) / 220480

= 689 / 320

= 689

Step2:

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

= 1 / 286

= 1

Step3:

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

= 1 / 136

= 1

So, Greatest Common Divisor of 689, 320, 286, 136 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 963, 920, 439
• GCD of 965, 696, 207, 968
• GCD of 781, 455, 552, 409
• GCD of 607, 672, 508, 281
• GCD of 583, 489, 101, 538

Given numbers are 689, 320, 286, 136
The greatest common divisor of numbers 689, 320, 286, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 320, 286, 136 is 1.

1. What is the GCD of 689, 320, 286, 136?

GCD of given numbers 689, 320, 286, 136 is 1

2. How to calculate the greatest common divisor of 689, 320, 286, 136?

We can find the highest common divisor of 689, 320, 286, 136 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, 320, 286, 136 i.e 1.

3. How can I use the GCD of 689, 320, 286, 136Calculator?

Out the numbers 689, 320, 286, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.