GCD of 459, 762, 420, 669 Calculator

Given Input numbers are 459, 762, 420, 669

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

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

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 (459, 762, 420, 669) = 3.

Given numbers are 459, 762, 420, 669

The list of prime factors of all numbers are

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 762 are 2 x 3 x 127

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

Prime factors of 669 are 3 x 223

The highest common occurrence is 3¹

Therefore, GCD of 459, 762, 420, 669 is 3.

Given numbers are 459, 762, 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(459, 762) = 116586

GCD(459, 762) = ( 459 x 762 ) / 116586

= 459 / 762

= 459

Step2:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

Step3:

LCM(3, 669) = 669

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

= 3 / 669

= 3

So, Greatest Common Divisor of 459, 762, 420, 669 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 109, 470, 512
• GCD of 326, 916, 807, 302
• GCD of 737, 879, 451, 397
• GCD of 822, 586, 701, 108
• GCD of 109, 860, 929, 316

Given numbers are 459, 762, 420, 669
The greatest common divisor of numbers 459, 762, 420, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 459, 762, 420, 669 is 3.

1. What is the GCD of 459, 762, 420, 669?

GCD of given numbers 459, 762, 420, 669 is 3

2. How to calculate the greatest common divisor of 459, 762, 420, 669?

We can find the highest common divisor of 459, 762, 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 459, 762, 420, 669 i.e 3.

3. How can I use the GCD of 459, 762, 420, 669Calculator?

Out the numbers 459, 762, 420, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.