GCD of 420, 162, 824, 407 Calculator

Given Input numbers are 420, 162, 824, 407

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 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

GCD of numbers is the greatest common divisor

So, the GCD (420, 162, 824, 407) = 1.

Given numbers are 420, 162, 824, 407

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 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 407 are 11 x 37

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

Given numbers are 420, 162, 824, 407

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

Apply this formula for all numbers.

Step1:

LCM(420, 162) = 11340

GCD(420, 162) = ( 420 x 162 ) / 11340

= 420 / 162

= 420

Step2:

LCM(6, 824) = 2472

GCD(6, 824) = ( 6 x 824 ) / 2472

= 6 / 824

= 6

Step3:

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

= 2 / 407

= 2

So, Greatest Common Divisor of 420, 162, 824, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 244, 688, 265, 712
• GCD of 977, 472, 296, 597
• GCD of 182, 383, 772, 607
• GCD of 183, 629, 102, 369
• GCD of 664, 499, 125, 958

Given numbers are 420, 162, 824, 407
The greatest common divisor of numbers 420, 162, 824, 407 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 162, 824, 407 is 1.

1. What is the GCD of 420, 162, 824, 407?

GCD of given numbers 420, 162, 824, 407 is 1

2. How to calculate the greatest common divisor of 420, 162, 824, 407?

We can find the highest common divisor of 420, 162, 824, 407 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, 162, 824, 407 i.e 1.

3. How can I use the GCD of 420, 162, 824, 407Calculator?

Out the numbers 420, 162, 824, 407 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.