GCD of 446, 530, 355, 420 Calculator

Given Input numbers are 446, 530, 355, 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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

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, 530, 355, 420) = 1.

Given numbers are 446, 530, 355, 420

The list of prime factors of all numbers are

Prime factors of 446 are 2 x 223

Prime factors of 530 are 2 x 5 x 53

Prime factors of 355 are 5 x 71

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, 530, 355, 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, 530) = 118190

GCD(446, 530) = ( 446 x 530 ) / 118190

= 446 / 530

= 446

Step2:

LCM(2, 355) = 710

GCD(2, 355) = ( 2 x 355 ) / 710

= 2 / 355

= 2

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 446, 530, 355, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 300, 865, 657
• GCD of 286, 369, 794, 829
• GCD of 612, 367, 962, 869
• GCD of 818, 984, 686, 976
• GCD of 547, 400, 775, 776

Given numbers are 446, 530, 355, 420
The greatest common divisor of numbers 446, 530, 355, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 446, 530, 355, 420 is 1.

1. What is the GCD of 446, 530, 355, 420?

GCD of given numbers 446, 530, 355, 420 is 1

2. How to calculate the greatest common divisor of 446, 530, 355, 420?

We can find the highest common divisor of 446, 530, 355, 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, 530, 355, 420 i.e 1.

3. How can I use the GCD of 446, 530, 355, 420Calculator?

Out the numbers 446, 530, 355, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.