GCD of 450, 596, 790, 242 Calculator

Given Input numbers are 450, 596, 790, 242

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (450, 596, 790, 242) = 2.

Given numbers are 450, 596, 790, 242

The list of prime factors of all numbers are

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 596 are 2 x 2 x 149

Prime factors of 790 are 2 x 5 x 79

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 450, 596, 790, 242 is 2.

Given numbers are 450, 596, 790, 242

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

Apply this formula for all numbers.

Step1:

LCM(450, 596) = 134100

GCD(450, 596) = ( 450 x 596 ) / 134100

= 450 / 596

= 450

Step2:

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

= 2 / 790

= 2

Step3:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

So, Greatest Common Divisor of 450, 596, 790, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 547, 433, 452
• GCD of 137, 888, 246, 600
• GCD of 686, 425, 323, 443
• GCD of 938, 420, 832, 774
• GCD of 363, 419, 196, 262

Given numbers are 450, 596, 790, 242
The greatest common divisor of numbers 450, 596, 790, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 596, 790, 242 is 2.

1. What is the GCD of 450, 596, 790, 242?

GCD of given numbers 450, 596, 790, 242 is 2

2. How to calculate the greatest common divisor of 450, 596, 790, 242?

We can find the highest common divisor of 450, 596, 790, 242 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 450, 596, 790, 242 i.e 2.

3. How can I use the GCD of 450, 596, 790, 242Calculator?

Out the numbers 450, 596, 790, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.