GCD of 400, 350, 482, 284 Calculator

Given Input numbers are 400, 350, 482, 284

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

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 482 :

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

1, 2, 241, 482

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (400, 350, 482, 284) = 2.

Given numbers are 400, 350, 482, 284

The list of prime factors of all numbers are

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

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 482 are 2 x 241

Prime factors of 284 are 2 x 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 400, 350, 482, 284 is 2.

Given numbers are 400, 350, 482, 284

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

Apply this formula for all numbers.

Step1:

LCM(400, 350) = 2800

GCD(400, 350) = ( 400 x 350 ) / 2800

= 400 / 350

= 400

Step2:

LCM(50, 482) = 12050

GCD(50, 482) = ( 50 x 482 ) / 12050

= 50 / 482

= 50

Step3:

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

= 2 / 284

= 2

So, Greatest Common Divisor of 400, 350, 482, 284 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 526, 949, 216
• GCD of 251, 881, 285, 444
• GCD of 251, 892, 709, 804
• GCD of 579, 237, 815, 733
• GCD of 476, 630, 510, 946

Given numbers are 400, 350, 482, 284
The greatest common divisor of numbers 400, 350, 482, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 350, 482, 284 is 2.

1. What is the GCD of 400, 350, 482, 284?

GCD of given numbers 400, 350, 482, 284 is 2

2. How to calculate the greatest common divisor of 400, 350, 482, 284?

We can find the highest common divisor of 400, 350, 482, 284 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 400, 350, 482, 284 i.e 2.

3. How can I use the GCD of 400, 350, 482, 284Calculator?

Out the numbers 400, 350, 482, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.