GCD of 186, 936, 916, 350 Calculator

Given Input numbers are 186, 936, 916, 350

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

Divisors of 186 :

The positive integer divisors of 186 that completely divides 186 are.

1, 2, 3, 6, 31, 62, 93, 186

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (186, 936, 916, 350) = 2.

Given numbers are 186, 936, 916, 350

The list of prime factors of all numbers are

Prime factors of 186 are 2 x 3 x 31

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

Prime factors of 916 are 2 x 2 x 229

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 186, 936, 916, 350 is 2.

Given numbers are 186, 936, 916, 350

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

Apply this formula for all numbers.

Step1:

LCM(186, 936) = 29016

GCD(186, 936) = ( 186 x 936 ) / 29016

= 186 / 936

= 186

Step2:

LCM(6, 916) = 2748

GCD(6, 916) = ( 6 x 916 ) / 2748

= 6 / 916

= 6

Step3:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

So, Greatest Common Divisor of 186, 936, 916, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 656, 980, 172
• GCD of 255, 900, 119, 875
• GCD of 791, 342, 302, 493
• GCD of 507, 292, 350, 568
• GCD of 738, 414, 351, 838

Given numbers are 186, 936, 916, 350
The greatest common divisor of numbers 186, 936, 916, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 186, 936, 916, 350 is 2.

1. What is the GCD of 186, 936, 916, 350?

GCD of given numbers 186, 936, 916, 350 is 2

2. How to calculate the greatest common divisor of 186, 936, 916, 350?

We can find the highest common divisor of 186, 936, 916, 350 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 186, 936, 916, 350 i.e 2.

3. How can I use the GCD of 186, 936, 916, 350Calculator?

Out the numbers 186, 936, 916, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.