GCD of 171, 918, 396, 528 Calculator

Given Input numbers are 171, 918, 396, 528

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

Divisors of 171 :

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

1, 3, 9, 19, 57, 171

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (171, 918, 396, 528) = 3.

Given numbers are 171, 918, 396, 528

The list of prime factors of all numbers are

Prime factors of 171 are 3 x 3 x 19

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 171, 918, 396, 528 is 3.

Given numbers are 171, 918, 396, 528

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

Apply this formula for all numbers.

Step1:

LCM(171, 918) = 17442

GCD(171, 918) = ( 171 x 918 ) / 17442

= 171 / 918

= 171

Step2:

LCM(9, 396) = 396

GCD(9, 396) = ( 9 x 396 ) / 396

= 9 / 396

= 9

Step3:

LCM(9, 528) = 1584

GCD(9, 528) = ( 9 x 528 ) / 1584

= 9 / 528

= 9

So, Greatest Common Divisor of 171, 918, 396, 528 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 810, 285, 902
• GCD of 904, 649, 917, 971
• GCD of 640, 549, 406, 687
• GCD of 763, 384, 431, 208
• GCD of 633, 801, 655, 183

Given numbers are 171, 918, 396, 528
The greatest common divisor of numbers 171, 918, 396, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 918, 396, 528 is 3.

1. What is the GCD of 171, 918, 396, 528?

GCD of given numbers 171, 918, 396, 528 is 3

2. How to calculate the greatest common divisor of 171, 918, 396, 528?

We can find the highest common divisor of 171, 918, 396, 528 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 171, 918, 396, 528 i.e 3.

3. How can I use the GCD of 171, 918, 396, 528Calculator?

Out the numbers 171, 918, 396, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.