GCD of 400, 268, 389, 756 Calculator

Given Input numbers are 400, 268, 389, 756

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 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (400, 268, 389, 756) = 1.

Given numbers are 400, 268, 389, 756

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 268 are 2 x 2 x 67

Prime factors of 389 are 389

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 400, 268, 389, 756

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

Apply this formula for all numbers.

Step1:

LCM(400, 268) = 26800

GCD(400, 268) = ( 400 x 268 ) / 26800

= 400 / 268

= 400

Step2:

LCM(4, 389) = 1556

GCD(4, 389) = ( 4 x 389 ) / 1556

= 4 / 389

= 4

Step3:

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

= 1 / 756

= 1

So, Greatest Common Divisor of 400, 268, 389, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 608, 165, 526
• GCD of 254, 501, 190, 430
• GCD of 723, 309, 594, 582
• GCD of 452, 618, 911, 119
• GCD of 261, 911, 923, 206

Given numbers are 400, 268, 389, 756
The greatest common divisor of numbers 400, 268, 389, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 268, 389, 756 is 1.

1. What is the GCD of 400, 268, 389, 756?

GCD of given numbers 400, 268, 389, 756 is 1

2. How to calculate the greatest common divisor of 400, 268, 389, 756?

We can find the highest common divisor of 400, 268, 389, 756 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, 268, 389, 756 i.e 1.

3. How can I use the GCD of 400, 268, 389, 756Calculator?

Out the numbers 400, 268, 389, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.