GCD of 945, 174, 264, 936 Calculator

Given Input numbers are 945, 174, 264, 936

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 174 :

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

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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 (945, 174, 264, 936) = 3.

Given numbers are 945, 174, 264, 936

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 174 are 2 x 3 x 29

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 945, 174, 264, 936 is 3.

Given numbers are 945, 174, 264, 936

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

Apply this formula for all numbers.

Step1:

LCM(945, 174) = 54810

GCD(945, 174) = ( 945 x 174 ) / 54810

= 945 / 174

= 945

Step2:

LCM(3, 264) = 264

GCD(3, 264) = ( 3 x 264 ) / 264

= 3 / 264

= 3

Step3:

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

= 3 / 936

= 3

So, Greatest Common Divisor of 945, 174, 264, 936 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 193, 592, 734
• GCD of 311, 926, 730, 569
• GCD of 758, 801, 526, 365
• GCD of 284, 944, 555, 341
• GCD of 188, 932, 539, 417

Given numbers are 945, 174, 264, 936
The greatest common divisor of numbers 945, 174, 264, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 174, 264, 936 is 3.

1. What is the GCD of 945, 174, 264, 936?

GCD of given numbers 945, 174, 264, 936 is 3

2. How to calculate the greatest common divisor of 945, 174, 264, 936?

We can find the highest common divisor of 945, 174, 264, 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 945, 174, 264, 936 i.e 3.

3. How can I use the GCD of 945, 174, 264, 936Calculator?

Out the numbers 945, 174, 264, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.