GCD of 924, 299, 21, 174 Calculator

Given Input numbers are 924, 299, 21, 174

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

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 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

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 (924, 299, 21, 174) = 1.

Given numbers are 924, 299, 21, 174

The list of prime factors of all numbers are

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

Prime factors of 299 are 13 x 23

Prime factors of 21 are 3 x 7

Prime factors of 174 are 2 x 3 x 29

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

Given numbers are 924, 299, 21, 174

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

Apply this formula for all numbers.

Step1:

LCM(924, 299) = 276276

GCD(924, 299) = ( 924 x 299 ) / 276276

= 924 / 299

= 924

Step2:

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

= 1 / 21

= 1

Step3:

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

= 1 / 174

= 1

So, Greatest Common Divisor of 924, 299, 21, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 663, 324, 89, 670
• GCD of 948, 379, 77, 824
• GCD of 728, 365, 11, 229
• GCD of 329, 692, 83, 496
• GCD of 298, 374, 84, 260

Given numbers are 924, 299, 21, 174
The greatest common divisor of numbers 924, 299, 21, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 299, 21, 174 is 1.

1. What is the GCD of 924, 299, 21, 174?

GCD of given numbers 924, 299, 21, 174 is 1

2. How to calculate the greatest common divisor of 924, 299, 21, 174?

We can find the highest common divisor of 924, 299, 21, 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 924, 299, 21, 174 i.e 1.

3. How can I use the GCD of 924, 299, 21, 174Calculator?

Out the numbers 924, 299, 21, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.