GCD of 400, 796, 466, 438 Calculator

Given Input numbers are 400, 796, 466, 438

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 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (400, 796, 466, 438) = 2.

Given numbers are 400, 796, 466, 438

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 796 are 2 x 2 x 199

Prime factors of 466 are 2 x 233

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 400, 796, 466, 438 is 2.

Given numbers are 400, 796, 466, 438

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

Apply this formula for all numbers.

Step1:

LCM(400, 796) = 79600

GCD(400, 796) = ( 400 x 796 ) / 79600

= 400 / 796

= 400

Step2:

LCM(4, 466) = 932

GCD(4, 466) = ( 4 x 466 ) / 932

= 4 / 466

= 4

Step3:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

So, Greatest Common Divisor of 400, 796, 466, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 768, 121, 629
• GCD of 786, 378, 895, 540
• GCD of 427, 489, 795, 706
• GCD of 468, 711, 777, 821
• GCD of 234, 850, 648, 450

Given numbers are 400, 796, 466, 438
The greatest common divisor of numbers 400, 796, 466, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 796, 466, 438 is 2.

1. What is the GCD of 400, 796, 466, 438?

GCD of given numbers 400, 796, 466, 438 is 2

2. How to calculate the greatest common divisor of 400, 796, 466, 438?

We can find the highest common divisor of 400, 796, 466, 438 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, 796, 466, 438 i.e 2.

3. How can I use the GCD of 400, 796, 466, 438Calculator?

Out the numbers 400, 796, 466, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.