GCD of 428, 218, 405, 938 Calculator

Given Input numbers are 428, 218, 405, 938

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 938 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (428, 218, 405, 938) = 1.

Given numbers are 428, 218, 405, 938

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 218 are 2 x 109

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 938 are 2 x 7 x 67

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

Given numbers are 428, 218, 405, 938

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

Apply this formula for all numbers.

Step1:

LCM(428, 218) = 46652

GCD(428, 218) = ( 428 x 218 ) / 46652

= 428 / 218

= 428

Step2:

LCM(2, 405) = 810

GCD(2, 405) = ( 2 x 405 ) / 810

= 2 / 405

= 2

Step3:

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

= 1 / 938

= 1

So, Greatest Common Divisor of 428, 218, 405, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 276, 286, 314
• GCD of 568, 345, 278, 243
• GCD of 619, 619, 675, 809
• GCD of 894, 290, 619, 788
• GCD of 880, 191, 375, 673

Given numbers are 428, 218, 405, 938
The greatest common divisor of numbers 428, 218, 405, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 218, 405, 938 is 1.

1. What is the GCD of 428, 218, 405, 938?

GCD of given numbers 428, 218, 405, 938 is 1

2. How to calculate the greatest common divisor of 428, 218, 405, 938?

We can find the highest common divisor of 428, 218, 405, 938 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 428, 218, 405, 938 i.e 1.

3. How can I use the GCD of 428, 218, 405, 938Calculator?

Out the numbers 428, 218, 405, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.