GCD of 170, 231, 420, 669 Calculator

Given Input numbers are 170, 231, 420, 669

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

GCD of numbers is the greatest common divisor

So, the GCD (170, 231, 420, 669) = 1.

Given numbers are 170, 231, 420, 669

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 231 are 3 x 7 x 11

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 669 are 3 x 223

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

Given numbers are 170, 231, 420, 669

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

Apply this formula for all numbers.

Step1:

LCM(170, 231) = 39270

GCD(170, 231) = ( 170 x 231 ) / 39270

= 170 / 231

= 170

Step2:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

Step3:

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

= 1 / 669

= 1

So, Greatest Common Divisor of 170, 231, 420, 669 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 774, 412, 944
• GCD of 208, 377, 253, 885
• GCD of 402, 738, 549, 206
• GCD of 429, 566, 703, 301
• GCD of 564, 324, 800, 535

Given numbers are 170, 231, 420, 669
The greatest common divisor of numbers 170, 231, 420, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 231, 420, 669 is 1.

1. What is the GCD of 170, 231, 420, 669?

GCD of given numbers 170, 231, 420, 669 is 1

2. How to calculate the greatest common divisor of 170, 231, 420, 669?

We can find the highest common divisor of 170, 231, 420, 669 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 170, 231, 420, 669 i.e 1.

3. How can I use the GCD of 170, 231, 420, 669Calculator?

Out the numbers 170, 231, 420, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.