GCD of 420, 442, 528, 475 Calculator

Given Input numbers are 420, 442, 528, 475

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

GCD of numbers is the greatest common divisor

So, the GCD (420, 442, 528, 475) = 1.

Given numbers are 420, 442, 528, 475

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 442 are 2 x 13 x 17

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 475 are 5 x 5 x 19

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

Given numbers are 420, 442, 528, 475

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

Apply this formula for all numbers.

Step1:

LCM(420, 442) = 92820

GCD(420, 442) = ( 420 x 442 ) / 92820

= 420 / 442

= 420

Step2:

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

= 2 / 528

= 2

Step3:

LCM(2, 475) = 950

GCD(2, 475) = ( 2 x 475 ) / 950

= 2 / 475

= 2

So, Greatest Common Divisor of 420, 442, 528, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 820, 982, 408
• GCD of 786, 530, 602, 714
• GCD of 777, 903, 166, 493
• GCD of 469, 287, 462, 463
• GCD of 245, 110, 325, 664

Given numbers are 420, 442, 528, 475
The greatest common divisor of numbers 420, 442, 528, 475 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 442, 528, 475 is 1.

1. What is the GCD of 420, 442, 528, 475?

GCD of given numbers 420, 442, 528, 475 is 1

2. How to calculate the greatest common divisor of 420, 442, 528, 475?

We can find the highest common divisor of 420, 442, 528, 475 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, 442, 528, 475 i.e 1.

3. How can I use the GCD of 420, 442, 528, 475Calculator?

Out the numbers 420, 442, 528, 475 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.