GCD of 256, 638, 698, 400 Calculator

Given Input numbers are 256, 638, 698, 400

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

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

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

GCD of numbers is the greatest common divisor

So, the GCD (256, 638, 698, 400) = 2.

Given numbers are 256, 638, 698, 400

The list of prime factors of all numbers are

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 638 are 2 x 11 x 29

Prime factors of 698 are 2 x 349

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

The highest common occurrence is 2¹

Therefore, GCD of 256, 638, 698, 400 is 2.

Given numbers are 256, 638, 698, 400

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

Apply this formula for all numbers.

Step1:

LCM(256, 638) = 81664

GCD(256, 638) = ( 256 x 638 ) / 81664

= 256 / 638

= 256

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 256, 638, 698, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 119, 116, 698
• GCD of 207, 570, 452, 758
• GCD of 236, 864, 409, 535
• GCD of 398, 149, 886, 181
• GCD of 705, 923, 361, 620

Given numbers are 256, 638, 698, 400
The greatest common divisor of numbers 256, 638, 698, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 256, 638, 698, 400 is 2.

1. What is the GCD of 256, 638, 698, 400?

GCD of given numbers 256, 638, 698, 400 is 2

2. How to calculate the greatest common divisor of 256, 638, 698, 400?

We can find the highest common divisor of 256, 638, 698, 400 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 256, 638, 698, 400 i.e 2.

3. How can I use the GCD of 256, 638, 698, 400Calculator?

Out the numbers 256, 638, 698, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.