GCD of 398, 920, 864, 940 Calculator

Given Input numbers are 398, 920, 864, 940

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

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 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (398, 920, 864, 940) = 2.

Given numbers are 398, 920, 864, 940

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

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

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 398, 920, 864, 940 is 2.

Given numbers are 398, 920, 864, 940

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

Apply this formula for all numbers.

Step1:

LCM(398, 920) = 183080

GCD(398, 920) = ( 398 x 920 ) / 183080

= 398 / 920

= 398

Step2:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

Step3:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

So, Greatest Common Divisor of 398, 920, 864, 940 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 330, 511, 412
• GCD of 999, 371, 498, 674
• GCD of 811, 755, 705, 222
• GCD of 855, 968, 686, 111
• GCD of 132, 854, 808, 650

Given numbers are 398, 920, 864, 940
The greatest common divisor of numbers 398, 920, 864, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 920, 864, 940 is 2.

1. What is the GCD of 398, 920, 864, 940?

GCD of given numbers 398, 920, 864, 940 is 2

2. How to calculate the greatest common divisor of 398, 920, 864, 940?

We can find the highest common divisor of 398, 920, 864, 940 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 398, 920, 864, 940 i.e 2.

3. How can I use the GCD of 398, 920, 864, 940Calculator?

Out the numbers 398, 920, 864, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.