GCD of 936, 314, 240, 825 Calculator

Given Input numbers are 936, 314, 240, 825

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

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (936, 314, 240, 825) = 1.

Given numbers are 936, 314, 240, 825

The list of prime factors of all numbers are

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

Prime factors of 314 are 2 x 157

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 936, 314, 240, 825

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

Apply this formula for all numbers.

Step1:

LCM(936, 314) = 146952

GCD(936, 314) = ( 936 x 314 ) / 146952

= 936 / 314

= 936

Step2:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

Step3:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

So, Greatest Common Divisor of 936, 314, 240, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 401, 705, 732
• GCD of 482, 609, 359, 542
• GCD of 295, 467, 357, 889
• GCD of 805, 236, 929, 376
• GCD of 335, 670, 659, 874

Given numbers are 936, 314, 240, 825
The greatest common divisor of numbers 936, 314, 240, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 314, 240, 825 is 1.

1. What is the GCD of 936, 314, 240, 825?

GCD of given numbers 936, 314, 240, 825 is 1

2. How to calculate the greatest common divisor of 936, 314, 240, 825?

We can find the highest common divisor of 936, 314, 240, 825 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 936, 314, 240, 825 i.e 1.

3. How can I use the GCD of 936, 314, 240, 825Calculator?

Out the numbers 936, 314, 240, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.