GCD of 320, 574, 918, 936 Calculator

Given Input numbers are 320, 574, 918, 936

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

GCD of numbers is the greatest common divisor

So, the GCD (320, 574, 918, 936) = 2.

Given numbers are 320, 574, 918, 936

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 574 are 2 x 7 x 41

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 320, 574, 918, 936 is 2.

Given numbers are 320, 574, 918, 936

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

Apply this formula for all numbers.

Step1:

LCM(320, 574) = 91840

GCD(320, 574) = ( 320 x 574 ) / 91840

= 320 / 574

= 320

Step2:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

Step3:

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

= 2 / 936

= 2

So, Greatest Common Divisor of 320, 574, 918, 936 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 129, 576, 441
• GCD of 171, 392, 839, 327
• GCD of 500, 612, 512, 698
• GCD of 940, 947, 789, 725
• GCD of 658, 924, 601, 997

Given numbers are 320, 574, 918, 936
The greatest common divisor of numbers 320, 574, 918, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 574, 918, 936 is 2.

1. What is the GCD of 320, 574, 918, 936?

GCD of given numbers 320, 574, 918, 936 is 2

2. How to calculate the greatest common divisor of 320, 574, 918, 936?

We can find the highest common divisor of 320, 574, 918, 936 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 320, 574, 918, 936 i.e 2.

3. How can I use the GCD of 320, 574, 918, 936Calculator?

Out the numbers 320, 574, 918, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.