GCD of 305, 689, 229, 165 Calculator

Given Input numbers are 305, 689, 229, 165

In the factoring method, we have to find the divisors of all numbers

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 229 :

The positive integer divisors of 229 that completely divides 229 are.

1, 229

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 (305, 689, 229, 165) = 1.

Given numbers are 305, 689, 229, 165

The list of prime factors of all numbers are

Prime factors of 305 are 5 x 61

Prime factors of 689 are 13 x 53

Prime factors of 229 are 229

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 305, 689, 229, 165

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

Apply this formula for all numbers.

Step1:

LCM(305, 689) = 210145

GCD(305, 689) = ( 305 x 689 ) / 210145

= 305 / 689

= 305

Step2:

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

= 1 / 229

= 1

Step3:

LCM(1, 165) = 165

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

= 1 / 165

= 1

So, Greatest Common Divisor of 305, 689, 229, 165 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 497, 373, 405, 519
• GCD of 395, 621, 938, 878
• GCD of 197, 761, 353, 356
• GCD of 737, 642, 662, 703
• GCD of 977, 499, 459, 954

Given numbers are 305, 689, 229, 165
The greatest common divisor of numbers 305, 689, 229, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 689, 229, 165 is 1.

1. What is the GCD of 305, 689, 229, 165?

GCD of given numbers 305, 689, 229, 165 is 1

2. How to calculate the greatest common divisor of 305, 689, 229, 165?

We can find the highest common divisor of 305, 689, 229, 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 305, 689, 229, 165 i.e 1.

3. How can I use the GCD of 305, 689, 229, 165Calculator?

Out the numbers 305, 689, 229, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.