GCD of 505, 369, 305, 162 Calculator

Given Input numbers are 505, 369, 305, 162

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 305 :

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

1, 5, 61, 305

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (505, 369, 305, 162) = 1.

Given numbers are 505, 369, 305, 162

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 369 are 3 x 3 x 41

Prime factors of 305 are 5 x 61

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

Given numbers are 505, 369, 305, 162

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

Apply this formula for all numbers.

Step1:

LCM(505, 369) = 186345

GCD(505, 369) = ( 505 x 369 ) / 186345

= 505 / 369

= 505

Step2:

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

= 1 / 305

= 1

Step3:

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

= 1 / 162

= 1

So, Greatest Common Divisor of 505, 369, 305, 162 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 826, 685, 994
• GCD of 232, 928, 593, 865
• GCD of 543, 327, 661, 758
• GCD of 309, 646, 703, 393
• GCD of 258, 397, 253, 390

Given numbers are 505, 369, 305, 162
The greatest common divisor of numbers 505, 369, 305, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 369, 305, 162 is 1.

1. What is the GCD of 505, 369, 305, 162?

GCD of given numbers 505, 369, 305, 162 is 1

2. How to calculate the greatest common divisor of 505, 369, 305, 162?

We can find the highest common divisor of 505, 369, 305, 162 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 505, 369, 305, 162 i.e 1.

3. How can I use the GCD of 505, 369, 305, 162Calculator?

Out the numbers 505, 369, 305, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.