GCD of 920, 428, 722, 394 Calculator

Given Input numbers are 920, 428, 722, 394

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

GCD of numbers is the greatest common divisor

So, the GCD (920, 428, 722, 394) = 2.

Given numbers are 920, 428, 722, 394

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 428 are 2 x 2 x 107

Prime factors of 722 are 2 x 19 x 19

Prime factors of 394 are 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 920, 428, 722, 394 is 2.

Given numbers are 920, 428, 722, 394

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

Apply this formula for all numbers.

Step1:

LCM(920, 428) = 98440

GCD(920, 428) = ( 920 x 428 ) / 98440

= 920 / 428

= 920

Step2:

LCM(4, 722) = 1444

GCD(4, 722) = ( 4 x 722 ) / 1444

= 4 / 722

= 4

Step3:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2

So, Greatest Common Divisor of 920, 428, 722, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 800, 241, 257, 618
• GCD of 521, 352, 505, 803
• GCD of 742, 907, 242, 906
• GCD of 780, 796, 875, 958
• GCD of 183, 171, 200, 187

Given numbers are 920, 428, 722, 394
The greatest common divisor of numbers 920, 428, 722, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 428, 722, 394 is 2.

1. What is the GCD of 920, 428, 722, 394?

GCD of given numbers 920, 428, 722, 394 is 2

2. How to calculate the greatest common divisor of 920, 428, 722, 394?

We can find the highest common divisor of 920, 428, 722, 394 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 920, 428, 722, 394 i.e 2.

3. How can I use the GCD of 920, 428, 722, 394Calculator?

Out the numbers 920, 428, 722, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.