GCD of 446, 221, 90, 420 Calculator

Given Input numbers are 446, 221, 90, 420

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

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 (446, 221, 90, 420) = 1.

Given numbers are 446, 221, 90, 420

The list of prime factors of all numbers are

Prime factors of 446 are 2 x 223

Prime factors of 221 are 13 x 17

Prime factors of 90 are 2 x 3 x 3 x 5

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 446, 221, 90, 420

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

Apply this formula for all numbers.

Step1:

LCM(446, 221) = 98566

GCD(446, 221) = ( 446 x 221 ) / 98566

= 446 / 221

= 446

Step2:

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

= 1 / 90

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 446, 221, 90, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 216, 79, 919
• GCD of 580, 362, 80, 357
• GCD of 267, 788, 50, 837
• GCD of 852, 195, 53, 253
• GCD of 815, 134, 65, 573

Given numbers are 446, 221, 90, 420
The greatest common divisor of numbers 446, 221, 90, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 446, 221, 90, 420 is 1.

1. What is the GCD of 446, 221, 90, 420?

GCD of given numbers 446, 221, 90, 420 is 1

2. How to calculate the greatest common divisor of 446, 221, 90, 420?

We can find the highest common divisor of 446, 221, 90, 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 446, 221, 90, 420 i.e 1.

3. How can I use the GCD of 446, 221, 90, 420Calculator?

Out the numbers 446, 221, 90, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.