GCD of 642, 296, 18, 622 Calculator

Given Input numbers are 642, 296, 18, 622

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 622 :

The positive integer divisors of 622 that completely divides 622 are.

1, 2, 311, 622

GCD of numbers is the greatest common divisor

So, the GCD (642, 296, 18, 622) = 2.

Given numbers are 642, 296, 18, 622

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 18 are 2 x 3 x 3

Prime factors of 622 are 2 x 311

The highest common occurrence is 2¹

Therefore, GCD of 642, 296, 18, 622 is 2.

Given numbers are 642, 296, 18, 622

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

Apply this formula for all numbers.

Step1:

LCM(642, 296) = 95016

GCD(642, 296) = ( 642 x 296 ) / 95016

= 642 / 296

= 642

Step2:

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

= 2 / 18

= 2

Step3:

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

= 2 / 622

= 2

So, Greatest Common Divisor of 642, 296, 18, 622 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 974, 85, 126
• GCD of 279, 745, 42, 274
• GCD of 800, 158, 34, 298
• GCD of 799, 615, 69, 544
• GCD of 771, 784, 35, 223

Given numbers are 642, 296, 18, 622
The greatest common divisor of numbers 642, 296, 18, 622 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 296, 18, 622 is 2.

1. What is the GCD of 642, 296, 18, 622?

GCD of given numbers 642, 296, 18, 622 is 2

2. How to calculate the greatest common divisor of 642, 296, 18, 622?

We can find the highest common divisor of 642, 296, 18, 622 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 642, 296, 18, 622 i.e 2.

3. How can I use the GCD of 642, 296, 18, 622Calculator?

Out the numbers 642, 296, 18, 622 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.