GCD of 420, 209, 413, 990 Calculator

Given Input numbers are 420, 209, 413, 990

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 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (420, 209, 413, 990) = 1.

Given numbers are 420, 209, 413, 990

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 209 are 11 x 19

Prime factors of 413 are 7 x 59

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 420, 209, 413, 990

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

Apply this formula for all numbers.

Step1:

LCM(420, 209) = 87780

GCD(420, 209) = ( 420 x 209 ) / 87780

= 420 / 209

= 420

Step2:

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

= 1 / 413

= 1

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 420, 209, 413, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 413, 613, 578, 670
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• GCD of 949, 819, 808, 803
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• GCD of 318, 131, 277, 488

Given numbers are 420, 209, 413, 990
The greatest common divisor of numbers 420, 209, 413, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 209, 413, 990 is 1.

1. What is the GCD of 420, 209, 413, 990?

GCD of given numbers 420, 209, 413, 990 is 1

2. How to calculate the greatest common divisor of 420, 209, 413, 990?

We can find the highest common divisor of 420, 209, 413, 990 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, 209, 413, 990 i.e 1.

3. How can I use the GCD of 420, 209, 413, 990Calculator?

Out the numbers 420, 209, 413, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.