GCD of 400, 768, 856, 767 Calculator

Given Input numbers are 400, 768, 856, 767

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 767 :

The positive integer divisors of 767 that completely divides 767 are.

1, 13, 59, 767

GCD of numbers is the greatest common divisor

So, the GCD (400, 768, 856, 767) = 1.

Given numbers are 400, 768, 856, 767

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 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 767 are 13 x 59

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

Given numbers are 400, 768, 856, 767

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

Apply this formula for all numbers.

Step1:

LCM(400, 768) = 19200

GCD(400, 768) = ( 400 x 768 ) / 19200

= 400 / 768

= 400

Step2:

LCM(16, 856) = 1712

GCD(16, 856) = ( 16 x 856 ) / 1712

= 16 / 856

= 16

Step3:

LCM(8, 767) = 6136

GCD(8, 767) = ( 8 x 767 ) / 6136

= 8 / 767

= 8

So, Greatest Common Divisor of 400, 768, 856, 767 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 612, 253, 608
• GCD of 238, 416, 697, 492
• GCD of 465, 328, 884, 120
• GCD of 640, 724, 265, 431
• GCD of 900, 760, 463, 144

Given numbers are 400, 768, 856, 767
The greatest common divisor of numbers 400, 768, 856, 767 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 768, 856, 767 is 1.

1. What is the GCD of 400, 768, 856, 767?

GCD of given numbers 400, 768, 856, 767 is 1

2. How to calculate the greatest common divisor of 400, 768, 856, 767?

We can find the highest common divisor of 400, 768, 856, 767 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, 768, 856, 767 i.e 1.

3. How can I use the GCD of 400, 768, 856, 767Calculator?

Out the numbers 400, 768, 856, 767 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.