GCD of 450, 490, 824, 482 Calculator

Given Input numbers are 450, 490, 824, 482

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 490 :

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

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

GCD of numbers is the greatest common divisor

So, the GCD (450, 490, 824, 482) = 2.

Given numbers are 450, 490, 824, 482

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 490 are 2 x 5 x 7 x 7

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 482 are 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 450, 490, 824, 482 is 2.

Given numbers are 450, 490, 824, 482

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

Apply this formula for all numbers.

Step1:

LCM(450, 490) = 22050

GCD(450, 490) = ( 450 x 490 ) / 22050

= 450 / 490

= 450

Step2:

LCM(10, 824) = 4120

GCD(10, 824) = ( 10 x 824 ) / 4120

= 10 / 824

= 10

Step3:

LCM(2, 482) = 482

GCD(2, 482) = ( 2 x 482 ) / 482

= 2 / 482

= 2

So, Greatest Common Divisor of 450, 490, 824, 482 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 552, 220, 415
• GCD of 984, 318, 821, 561
• GCD of 758, 589, 707, 364
• GCD of 560, 558, 954, 182
• GCD of 356, 590, 467, 787

Given numbers are 450, 490, 824, 482
The greatest common divisor of numbers 450, 490, 824, 482 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 490, 824, 482 is 2.

1. What is the GCD of 450, 490, 824, 482?

GCD of given numbers 450, 490, 824, 482 is 2

2. How to calculate the greatest common divisor of 450, 490, 824, 482?

We can find the highest common divisor of 450, 490, 824, 482 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, 490, 824, 482 i.e 2.

3. How can I use the GCD of 450, 490, 824, 482Calculator?

Out the numbers 450, 490, 824, 482 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.