GCD of 369, 296, 185, 171 Calculator

Given Input numbers are 369, 296, 185, 171

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

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 (369, 296, 185, 171) = 1.

Given numbers are 369, 296, 185, 171

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 185 are 5 x 37

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 369, 296, 185, 171

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

Apply this formula for all numbers.

Step1:

LCM(369, 296) = 109224

GCD(369, 296) = ( 369 x 296 ) / 109224

= 369 / 296

= 369

Step2:

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

= 1 / 185

= 1

Step3:

LCM(1, 171) = 171

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

= 1 / 171

= 1

So, Greatest Common Divisor of 369, 296, 185, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 203, 808, 235
• GCD of 516, 932, 822, 932
• GCD of 978, 250, 789, 797
• GCD of 942, 881, 450, 346
• GCD of 153, 827, 247, 962

Given numbers are 369, 296, 185, 171
The greatest common divisor of numbers 369, 296, 185, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 296, 185, 171 is 1.

1. What is the GCD of 369, 296, 185, 171?

GCD of given numbers 369, 296, 185, 171 is 1

2. How to calculate the greatest common divisor of 369, 296, 185, 171?

We can find the highest common divisor of 369, 296, 185, 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 369, 296, 185, 171 i.e 1.

3. How can I use the GCD of 369, 296, 185, 171Calculator?

Out the numbers 369, 296, 185, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.