GCD of 442, 326, 478, 420 Calculator

Given Input numbers are 442, 326, 478, 420

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

Divisors of 442 :

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

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

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

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 (442, 326, 478, 420) = 2.

Given numbers are 442, 326, 478, 420

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 326 are 2 x 163

Prime factors of 478 are 2 x 239

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

The highest common occurrence is 2¹

Therefore, GCD of 442, 326, 478, 420 is 2.

Given numbers are 442, 326, 478, 420

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

Apply this formula for all numbers.

Step1:

LCM(442, 326) = 72046

GCD(442, 326) = ( 442 x 326 ) / 72046

= 442 / 326

= 442

Step2:

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

= 2 / 478

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 442, 326, 478, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 910, 291, 222
• GCD of 260, 545, 406, 823
• GCD of 403, 481, 342, 473
• GCD of 530, 682, 794, 903
• GCD of 385, 228, 104, 547

Given numbers are 442, 326, 478, 420
The greatest common divisor of numbers 442, 326, 478, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 326, 478, 420 is 2.

1. What is the GCD of 442, 326, 478, 420?

GCD of given numbers 442, 326, 478, 420 is 2

2. How to calculate the greatest common divisor of 442, 326, 478, 420?

We can find the highest common divisor of 442, 326, 478, 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 442, 326, 478, 420 i.e 2.

3. How can I use the GCD of 442, 326, 478, 420Calculator?

Out the numbers 442, 326, 478, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.