GCD of 482, 730, 344, 400 Calculator

Given Input numbers are 482, 730, 344, 400

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

Divisors of 482 :

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

1, 2, 241, 482

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (482, 730, 344, 400) = 2.

Given numbers are 482, 730, 344, 400

The list of prime factors of all numbers are

Prime factors of 482 are 2 x 241

Prime factors of 730 are 2 x 5 x 73

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 482, 730, 344, 400 is 2.

Given numbers are 482, 730, 344, 400

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

Apply this formula for all numbers.

Step1:

LCM(482, 730) = 175930

GCD(482, 730) = ( 482 x 730 ) / 175930

= 482 / 730

= 482

Step2:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 482, 730, 344, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 640, 620, 637
• GCD of 407, 228, 144, 240
• GCD of 652, 717, 813, 384
• GCD of 204, 341, 152, 795
• GCD of 155, 697, 693, 851

Given numbers are 482, 730, 344, 400
The greatest common divisor of numbers 482, 730, 344, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 482, 730, 344, 400 is 2.

1. What is the GCD of 482, 730, 344, 400?

GCD of given numbers 482, 730, 344, 400 is 2

2. How to calculate the greatest common divisor of 482, 730, 344, 400?

We can find the highest common divisor of 482, 730, 344, 400 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 482, 730, 344, 400 i.e 2.

3. How can I use the GCD of 482, 730, 344, 400Calculator?

Out the numbers 482, 730, 344, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.