GCD of 449, 684, 107, 420 Calculator

Given Input numbers are 449, 684, 107, 420

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

Divisors of 449 :

The positive integer divisors of 449 that completely divides 449 are.

1, 449

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

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

GCD of numbers is the greatest common divisor

So, the GCD (449, 684, 107, 420) = 1.

Given numbers are 449, 684, 107, 420

The list of prime factors of all numbers are

Prime factors of 449 are 449

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 107 are 107

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

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

Given numbers are 449, 684, 107, 420

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

Apply this formula for all numbers.

Step1:

LCM(449, 684) = 307116

GCD(449, 684) = ( 449 x 684 ) / 307116

= 449 / 684

= 449

Step2:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 449, 684, 107, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 663, 602, 928
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• GCD of 926, 584, 607, 851
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• GCD of 436, 131, 330, 217

Given numbers are 449, 684, 107, 420
The greatest common divisor of numbers 449, 684, 107, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 449, 684, 107, 420 is 1.

1. What is the GCD of 449, 684, 107, 420?

GCD of given numbers 449, 684, 107, 420 is 1

2. How to calculate the greatest common divisor of 449, 684, 107, 420?

We can find the highest common divisor of 449, 684, 107, 420 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 449, 684, 107, 420 i.e 1.

3. How can I use the GCD of 449, 684, 107, 420Calculator?

Out the numbers 449, 684, 107, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.