GCD of 162, 390, 208, 278 Calculator

Given Input numbers are 162, 390, 208, 278

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

Divisors of 162 :

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

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

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

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

GCD of numbers is the greatest common divisor

So, the GCD (162, 390, 208, 278) = 2.

Given numbers are 162, 390, 208, 278

The list of prime factors of all numbers are

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

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 278 are 2 x 139

The highest common occurrence is 2¹

Therefore, GCD of 162, 390, 208, 278 is 2.

Given numbers are 162, 390, 208, 278

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

Apply this formula for all numbers.

Step1:

LCM(162, 390) = 10530

GCD(162, 390) = ( 162 x 390 ) / 10530

= 162 / 390

= 162

Step2:

LCM(6, 208) = 624

GCD(6, 208) = ( 6 x 208 ) / 624

= 6 / 208

= 6

Step3:

LCM(2, 278) = 278

GCD(2, 278) = ( 2 x 278 ) / 278

= 2 / 278

= 2

So, Greatest Common Divisor of 162, 390, 208, 278 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 339, 143, 453
• GCD of 922, 101, 413, 316
• GCD of 948, 602, 543, 593
• GCD of 224, 491, 183, 244
• GCD of 273, 432, 171, 644

Given numbers are 162, 390, 208, 278
The greatest common divisor of numbers 162, 390, 208, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 390, 208, 278 is 2.

1. What is the GCD of 162, 390, 208, 278?

GCD of given numbers 162, 390, 208, 278 is 2

2. How to calculate the greatest common divisor of 162, 390, 208, 278?

We can find the highest common divisor of 162, 390, 208, 278 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 162, 390, 208, 278 i.e 2.

3. How can I use the GCD of 162, 390, 208, 278Calculator?

Out the numbers 162, 390, 208, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.