GCD of 180, 924, 949, 170 Calculator

Given Input numbers are 180, 924, 949, 170

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

GCD of numbers is the greatest common divisor

So, the GCD (180, 924, 949, 170) = 1.

Given numbers are 180, 924, 949, 170

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 949 are 13 x 73

Prime factors of 170 are 2 x 5 x 17

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

Given numbers are 180, 924, 949, 170

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

Apply this formula for all numbers.

Step1:

LCM(180, 924) = 13860

GCD(180, 924) = ( 180 x 924 ) / 13860

= 180 / 924

= 180

Step2:

LCM(12, 949) = 11388

GCD(12, 949) = ( 12 x 949 ) / 11388

= 12 / 949

= 12

Step3:

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

= 1 / 170

= 1

So, Greatest Common Divisor of 180, 924, 949, 170 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 122, 936, 114
• GCD of 823, 580, 517, 294
• GCD of 545, 890, 799, 401
• GCD of 902, 112, 610, 236
• GCD of 407, 737, 526, 733

Given numbers are 180, 924, 949, 170
The greatest common divisor of numbers 180, 924, 949, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 924, 949, 170 is 1.

1. What is the GCD of 180, 924, 949, 170?

GCD of given numbers 180, 924, 949, 170 is 1

2. How to calculate the greatest common divisor of 180, 924, 949, 170?

We can find the highest common divisor of 180, 924, 949, 170 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 180, 924, 949, 170 i.e 1.

3. How can I use the GCD of 180, 924, 949, 170Calculator?

Out the numbers 180, 924, 949, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.