GCD of 936, 916, 658, 174 Calculator

Given Input numbers are 936, 916, 658, 174

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 916 :

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

1, 2, 4, 229, 458, 916

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (936, 916, 658, 174) = 2.

Given numbers are 936, 916, 658, 174

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 916 are 2 x 2 x 229

Prime factors of 658 are 2 x 7 x 47

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 936, 916, 658, 174 is 2.

Given numbers are 936, 916, 658, 174

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

Apply this formula for all numbers.

Step1:

LCM(936, 916) = 214344

GCD(936, 916) = ( 936 x 916 ) / 214344

= 936 / 916

= 936

Step2:

LCM(4, 658) = 1316

GCD(4, 658) = ( 4 x 658 ) / 1316

= 4 / 658

= 4

Step3:

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

= 2 / 174

= 2

So, Greatest Common Divisor of 936, 916, 658, 174 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 724, 997, 420
• GCD of 152, 195, 702, 544
• GCD of 236, 160, 604, 608
• GCD of 312, 594, 925, 361
• GCD of 378, 444, 616, 220

Given numbers are 936, 916, 658, 174
The greatest common divisor of numbers 936, 916, 658, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 916, 658, 174 is 2.

1. What is the GCD of 936, 916, 658, 174?

GCD of given numbers 936, 916, 658, 174 is 2

2. How to calculate the greatest common divisor of 936, 916, 658, 174?

We can find the highest common divisor of 936, 916, 658, 174 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, 916, 658, 174 i.e 2.

3. How can I use the GCD of 936, 916, 658, 174Calculator?

Out the numbers 936, 916, 658, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.