GCD of 939, 345, 219, 171 Calculator

Given Input numbers are 939, 345, 219, 171

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

Divisors of 939 :

The positive integer divisors of 939 that completely divides 939 are.

1, 3, 313, 939

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

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 (939, 345, 219, 171) = 3.

Given numbers are 939, 345, 219, 171

The list of prime factors of all numbers are

Prime factors of 939 are 3 x 313

Prime factors of 345 are 3 x 5 x 23

Prime factors of 219 are 3 x 73

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 939, 345, 219, 171 is 3.

Given numbers are 939, 345, 219, 171

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

Apply this formula for all numbers.

Step1:

LCM(939, 345) = 107985

GCD(939, 345) = ( 939 x 345 ) / 107985

= 939 / 345

= 939

Step2:

LCM(3, 219) = 219

GCD(3, 219) = ( 3 x 219 ) / 219

= 3 / 219

= 3

Step3:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

So, Greatest Common Divisor of 939, 345, 219, 171 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 751, 761, 542
• GCD of 541, 806, 351, 474
• GCD of 668, 904, 353, 807
• GCD of 797, 738, 653, 307
• GCD of 284, 254, 173, 746

Given numbers are 939, 345, 219, 171
The greatest common divisor of numbers 939, 345, 219, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 939, 345, 219, 171 is 3.

1. What is the GCD of 939, 345, 219, 171?

GCD of given numbers 939, 345, 219, 171 is 3

2. How to calculate the greatest common divisor of 939, 345, 219, 171?

We can find the highest common divisor of 939, 345, 219, 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 939, 345, 219, 171 i.e 3.

3. How can I use the GCD of 939, 345, 219, 171Calculator?

Out the numbers 939, 345, 219, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.