GCD of 450, 264, 153, 490 Calculator

Given Input numbers are 450, 264, 153, 490

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 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (450, 264, 153, 490) = 1.

Given numbers are 450, 264, 153, 490

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 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 153 are 3 x 3 x 17

Prime factors of 490 are 2 x 5 x 7 x 7

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

Given numbers are 450, 264, 153, 490

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

Apply this formula for all numbers.

Step1:

LCM(450, 264) = 19800

GCD(450, 264) = ( 450 x 264 ) / 19800

= 450 / 264

= 450

Step2:

LCM(6, 153) = 306

GCD(6, 153) = ( 6 x 153 ) / 306

= 6 / 153

= 6

Step3:

LCM(3, 490) = 1470

GCD(3, 490) = ( 3 x 490 ) / 1470

= 3 / 490

= 3

So, Greatest Common Divisor of 450, 264, 153, 490 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 384, 359, 537
• GCD of 280, 401, 503, 402
• GCD of 507, 782, 346, 724
• GCD of 154, 779, 473, 272
• GCD of 679, 301, 320, 374

Given numbers are 450, 264, 153, 490
The greatest common divisor of numbers 450, 264, 153, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 264, 153, 490 is 1.

1. What is the GCD of 450, 264, 153, 490?

GCD of given numbers 450, 264, 153, 490 is 1

2. How to calculate the greatest common divisor of 450, 264, 153, 490?

We can find the highest common divisor of 450, 264, 153, 490 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, 264, 153, 490 i.e 1.

3. How can I use the GCD of 450, 264, 153, 490Calculator?

Out the numbers 450, 264, 153, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.