GCD of 329, 660, 900, 171 Calculator

Given Input numbers are 329, 660, 900, 171

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

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (329, 660, 900, 171) = 1.

Given numbers are 329, 660, 900, 171

The list of prime factors of all numbers are

Prime factors of 329 are 7 x 47

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 329, 660, 900, 171

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

Apply this formula for all numbers.

Step1:

LCM(329, 660) = 217140

GCD(329, 660) = ( 329 x 660 ) / 217140

= 329 / 660

= 329

Step2:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

So, Greatest Common Divisor of 329, 660, 900, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 194, 777, 599
• GCD of 540, 114, 628, 191
• GCD of 633, 885, 327, 854
• GCD of 163, 508, 884, 470
• GCD of 144, 420, 853, 674

Given numbers are 329, 660, 900, 171
The greatest common divisor of numbers 329, 660, 900, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 329, 660, 900, 171 is 1.

1. What is the GCD of 329, 660, 900, 171?

GCD of given numbers 329, 660, 900, 171 is 1

2. How to calculate the greatest common divisor of 329, 660, 900, 171?

We can find the highest common divisor of 329, 660, 900, 171 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 329, 660, 900, 171 i.e 1.

3. How can I use the GCD of 329, 660, 900, 171Calculator?

Out the numbers 329, 660, 900, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.