GCD of 969, 165, 633, 171 Calculator

Given Input numbers are 969, 165, 633, 171

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

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 (969, 165, 633, 171) = 3.

Given numbers are 969, 165, 633, 171

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 165 are 3 x 5 x 11

Prime factors of 633 are 3 x 211

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 969, 165, 633, 171 is 3.

Given numbers are 969, 165, 633, 171

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

Apply this formula for all numbers.

Step1:

LCM(969, 165) = 53295

GCD(969, 165) = ( 969 x 165 ) / 53295

= 969 / 165

= 969

Step2:

LCM(3, 633) = 633

GCD(3, 633) = ( 3 x 633 ) / 633

= 3 / 633

= 3

Step3:

LCM(3, 171) = 171

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

= 3 / 171

= 3

So, Greatest Common Divisor of 969, 165, 633, 171 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 556, 249, 285
• GCD of 187, 926, 620, 342
• GCD of 405, 214, 518, 544
• GCD of 439, 360, 479, 980
• GCD of 977, 878, 711, 168

Given numbers are 969, 165, 633, 171
The greatest common divisor of numbers 969, 165, 633, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 165, 633, 171 is 3.

1. What is the GCD of 969, 165, 633, 171?

GCD of given numbers 969, 165, 633, 171 is 3

2. How to calculate the greatest common divisor of 969, 165, 633, 171?

We can find the highest common divisor of 969, 165, 633, 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 969, 165, 633, 171 i.e 3.

3. How can I use the GCD of 969, 165, 633, 171Calculator?

Out the numbers 969, 165, 633, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.