GCD of 309, 874, 972, 173 Calculator

Given Input numbers are 309, 874, 972, 173

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 173 :

The positive integer divisors of 173 that completely divides 173 are.

1, 173

GCD of numbers is the greatest common divisor

So, the GCD (309, 874, 972, 173) = 1.

Given numbers are 309, 874, 972, 173

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 874 are 2 x 19 x 23

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 173 are 173

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

Given numbers are 309, 874, 972, 173

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

Apply this formula for all numbers.

Step1:

LCM(309, 874) = 270066

GCD(309, 874) = ( 309 x 874 ) / 270066

= 309 / 874

= 309

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

= 1 / 173

= 1

So, Greatest Common Divisor of 309, 874, 972, 173 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 274, 991, 848
• GCD of 614, 625, 725, 275
• GCD of 286, 213, 455, 677
• GCD of 656, 572, 449, 937
• GCD of 869, 247, 130, 395

Given numbers are 309, 874, 972, 173
The greatest common divisor of numbers 309, 874, 972, 173 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 874, 972, 173 is 1.

1. What is the GCD of 309, 874, 972, 173?

GCD of given numbers 309, 874, 972, 173 is 1

2. How to calculate the greatest common divisor of 309, 874, 972, 173?

We can find the highest common divisor of 309, 874, 972, 173 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 309, 874, 972, 173 i.e 1.

3. How can I use the GCD of 309, 874, 972, 173Calculator?

Out the numbers 309, 874, 972, 173 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.