GCD of 938, 728, 255, 400 Calculator

Given Input numbers are 938, 728, 255, 400

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

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 (938, 728, 255, 400) = 1.

Given numbers are 938, 728, 255, 400

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 255 are 3 x 5 x 17

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

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

Given numbers are 938, 728, 255, 400

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

Apply this formula for all numbers.

Step1:

LCM(938, 728) = 48776

GCD(938, 728) = ( 938 x 728 ) / 48776

= 938 / 728

= 938

Step2:

LCM(14, 255) = 3570

GCD(14, 255) = ( 14 x 255 ) / 3570

= 14 / 255

= 14

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 938, 728, 255, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 444, 899, 947
• GCD of 308, 251, 734, 176
• GCD of 971, 459, 998, 285
• GCD of 798, 659, 640, 432
• GCD of 161, 120, 182, 256

Given numbers are 938, 728, 255, 400
The greatest common divisor of numbers 938, 728, 255, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 728, 255, 400 is 1.

1. What is the GCD of 938, 728, 255, 400?

GCD of given numbers 938, 728, 255, 400 is 1

2. How to calculate the greatest common divisor of 938, 728, 255, 400?

We can find the highest common divisor of 938, 728, 255, 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 938, 728, 255, 400 i.e 1.

3. How can I use the GCD of 938, 728, 255, 400Calculator?

Out the numbers 938, 728, 255, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.