GCD of 420, 406, 672, 522 Calculator

Given Input numbers are 420, 406, 672, 522

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

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 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

GCD of numbers is the greatest common divisor

So, the GCD (420, 406, 672, 522) = 2.

Given numbers are 420, 406, 672, 522

The list of prime factors of all numbers are

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

Prime factors of 406 are 2 x 7 x 29

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 420, 406, 672, 522 is 2.

Given numbers are 420, 406, 672, 522

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

Apply this formula for all numbers.

Step1:

LCM(420, 406) = 12180

GCD(420, 406) = ( 420 x 406 ) / 12180

= 420 / 406

= 420

Step2:

LCM(14, 672) = 672

GCD(14, 672) = ( 14 x 672 ) / 672

= 14 / 672

= 14

Step3:

LCM(14, 522) = 3654

GCD(14, 522) = ( 14 x 522 ) / 3654

= 14 / 522

= 14

So, Greatest Common Divisor of 420, 406, 672, 522 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 142, 874, 842
• GCD of 358, 349, 984, 667
• GCD of 139, 193, 462, 424
• GCD of 682, 732, 951, 923
• GCD of 903, 856, 371, 796

Given numbers are 420, 406, 672, 522
The greatest common divisor of numbers 420, 406, 672, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 406, 672, 522 is 2.

1. What is the GCD of 420, 406, 672, 522?

GCD of given numbers 420, 406, 672, 522 is 2

2. How to calculate the greatest common divisor of 420, 406, 672, 522?

We can find the highest common divisor of 420, 406, 672, 522 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 420, 406, 672, 522 i.e 2.

3. How can I use the GCD of 420, 406, 672, 522Calculator?

Out the numbers 420, 406, 672, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.