GCD of 168, 213, 474, 669 Calculator

Given Input numbers are 168, 213, 474, 669

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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 (168, 213, 474, 669) = 3.

Given numbers are 168, 213, 474, 669

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 213 are 3 x 71

Prime factors of 474 are 2 x 3 x 79

Prime factors of 669 are 3 x 223

The highest common occurrence is 3¹

Therefore, GCD of 168, 213, 474, 669 is 3.

Given numbers are 168, 213, 474, 669

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

Apply this formula for all numbers.

Step1:

LCM(168, 213) = 11928

GCD(168, 213) = ( 168 x 213 ) / 11928

= 168 / 213

= 168

Step2:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

Step3:

LCM(3, 669) = 669

GCD(3, 669) = ( 3 x 669 ) / 669

= 3 / 669

= 3

So, Greatest Common Divisor of 168, 213, 474, 669 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 745, 851, 491
• GCD of 360, 223, 520, 964
• GCD of 416, 178, 423, 597
• GCD of 483, 425, 750, 302
• GCD of 499, 534, 801, 379

Given numbers are 168, 213, 474, 669
The greatest common divisor of numbers 168, 213, 474, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 213, 474, 669 is 3.

1. What is the GCD of 168, 213, 474, 669?

GCD of given numbers 168, 213, 474, 669 is 3

2. How to calculate the greatest common divisor of 168, 213, 474, 669?

We can find the highest common divisor of 168, 213, 474, 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 168, 213, 474, 669 i.e 3.

3. How can I use the GCD of 168, 213, 474, 669Calculator?

Out the numbers 168, 213, 474, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.