GCD of 165, 305, 428, 264 Calculator

Given Input numbers are 165, 305, 428, 264

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

Divisors of 165 :

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

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

Divisors of 305 :

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

1, 5, 61, 305

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (165, 305, 428, 264) = 1.

Given numbers are 165, 305, 428, 264

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

Prime factors of 305 are 5 x 61

Prime factors of 428 are 2 x 2 x 107

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

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

Given numbers are 165, 305, 428, 264

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

Apply this formula for all numbers.

Step1:

LCM(165, 305) = 10065

GCD(165, 305) = ( 165 x 305 ) / 10065

= 165 / 305

= 165

Step2:

LCM(5, 428) = 2140

GCD(5, 428) = ( 5 x 428 ) / 2140

= 5 / 428

= 5

Step3:

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

= 1 / 264

= 1

So, Greatest Common Divisor of 165, 305, 428, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 519, 658, 799
• GCD of 618, 477, 507, 339
• GCD of 551, 270, 678, 891
• GCD of 849, 965, 930, 580
• GCD of 338, 990, 949, 439

Given numbers are 165, 305, 428, 264
The greatest common divisor of numbers 165, 305, 428, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 305, 428, 264 is 1.

1. What is the GCD of 165, 305, 428, 264?

GCD of given numbers 165, 305, 428, 264 is 1

2. How to calculate the greatest common divisor of 165, 305, 428, 264?

We can find the highest common divisor of 165, 305, 428, 264 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 165, 305, 428, 264 i.e 1.

3. How can I use the GCD of 165, 305, 428, 264Calculator?

Out the numbers 165, 305, 428, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.