GCD of 689, 131, 416, 165 Calculator

Given Input numbers are 689, 131, 416, 165

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 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

GCD of numbers is the greatest common divisor

So, the GCD (689, 131, 416, 165) = 1.

Given numbers are 689, 131, 416, 165

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 131 are 131

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 165 are 3 x 5 x 11

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

Given numbers are 689, 131, 416, 165

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

Apply this formula for all numbers.

Step1:

LCM(689, 131) = 90259

GCD(689, 131) = ( 689 x 131 ) / 90259

= 689 / 131

= 689

Step2:

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

= 1 / 416

= 1

Step3:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1

So, Greatest Common Divisor of 689, 131, 416, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 671, 753, 549
• GCD of 893, 552, 211, 909
• GCD of 892, 289, 558, 123
• GCD of 873, 443, 978, 190
• GCD of 689, 280, 116, 930

Given numbers are 689, 131, 416, 165
The greatest common divisor of numbers 689, 131, 416, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 131, 416, 165 is 1.

1. What is the GCD of 689, 131, 416, 165?

GCD of given numbers 689, 131, 416, 165 is 1

2. How to calculate the greatest common divisor of 689, 131, 416, 165?

We can find the highest common divisor of 689, 131, 416, 165 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, 131, 416, 165 i.e 1.

3. How can I use the GCD of 689, 131, 416, 165Calculator?

Out the numbers 689, 131, 416, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.