GCD of 242, 405, 300, 252 Calculator

Given Input numbers are 242, 405, 300, 252

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

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (242, 405, 300, 252) = 1.

Given numbers are 242, 405, 300, 252

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

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

Given numbers are 242, 405, 300, 252

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

Apply this formula for all numbers.

Step1:

LCM(242, 405) = 98010

GCD(242, 405) = ( 242 x 405 ) / 98010

= 242 / 405

= 242

Step2:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

Step3:

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

= 1 / 252

= 1

So, Greatest Common Divisor of 242, 405, 300, 252 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 482, 445, 823
• GCD of 351, 921, 721, 207
• GCD of 400, 498, 220, 167
• GCD of 709, 944, 803, 186
• GCD of 166, 957, 355, 730

Given numbers are 242, 405, 300, 252
The greatest common divisor of numbers 242, 405, 300, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 405, 300, 252 is 1.

1. What is the GCD of 242, 405, 300, 252?

GCD of given numbers 242, 405, 300, 252 is 1

2. How to calculate the greatest common divisor of 242, 405, 300, 252?

We can find the highest common divisor of 242, 405, 300, 252 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 242, 405, 300, 252 i.e 1.

3. How can I use the GCD of 242, 405, 300, 252Calculator?

Out the numbers 242, 405, 300, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.