GCD of 400, 386, 364, 800 Calculator

Given Input numbers are 400, 386, 364, 800

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 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (400, 386, 364, 800) = 2.

Given numbers are 400, 386, 364, 800

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 386 are 2 x 193

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 400, 386, 364, 800 is 2.

Given numbers are 400, 386, 364, 800

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

Apply this formula for all numbers.

Step1:

LCM(400, 386) = 77200

GCD(400, 386) = ( 400 x 386 ) / 77200

= 400 / 386

= 400

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

So, Greatest Common Divisor of 400, 386, 364, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 888, 187, 350
• GCD of 497, 610, 126, 956
• GCD of 234, 991, 486, 795
• GCD of 300, 599, 195, 817
• GCD of 741, 649, 494, 192

Given numbers are 400, 386, 364, 800
The greatest common divisor of numbers 400, 386, 364, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 386, 364, 800 is 2.

1. What is the GCD of 400, 386, 364, 800?

GCD of given numbers 400, 386, 364, 800 is 2

2. How to calculate the greatest common divisor of 400, 386, 364, 800?

We can find the highest common divisor of 400, 386, 364, 800 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, 386, 364, 800 i.e 2.

3. How can I use the GCD of 400, 386, 364, 800Calculator?

Out the numbers 400, 386, 364, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.