GCD of 689, 174, 65, 656 Calculator

Given Input numbers are 689, 174, 65, 656

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 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 65 :

The positive integer divisors of 65 that completely divides 65 are.

1, 5, 13, 65

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

GCD of numbers is the greatest common divisor

So, the GCD (689, 174, 65, 656) = 1.

Given numbers are 689, 174, 65, 656

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 174 are 2 x 3 x 29

Prime factors of 65 are 5 x 13

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

Given numbers are 689, 174, 65, 656

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

Apply this formula for all numbers.

Step1:

LCM(689, 174) = 119886

GCD(689, 174) = ( 689 x 174 ) / 119886

= 689 / 174

= 689

Step2:

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

= 1 / 65

= 1

Step3:

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

= 1 / 656

= 1

So, Greatest Common Divisor of 689, 174, 65, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 169, 79, 758
• GCD of 860, 578, 48, 324
• GCD of 764, 818, 68, 607
• GCD of 893, 845, 41, 169
• GCD of 819, 482, 12, 982

Given numbers are 689, 174, 65, 656
The greatest common divisor of numbers 689, 174, 65, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 174, 65, 656 is 1.

1. What is the GCD of 689, 174, 65, 656?

GCD of given numbers 689, 174, 65, 656 is 1

2. How to calculate the greatest common divisor of 689, 174, 65, 656?

We can find the highest common divisor of 689, 174, 65, 656 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, 174, 65, 656 i.e 1.

3. How can I use the GCD of 689, 174, 65, 656Calculator?

Out the numbers 689, 174, 65, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.