GCD of 420, 556, 544, 396 Calculator

Given Input numbers are 420, 556, 544, 396

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 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (420, 556, 544, 396) = 4.

Given numbers are 420, 556, 544, 396

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 556 are 2 x 2 x 139

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2²

Therefore, GCD of 420, 556, 544, 396 is 4.

Given numbers are 420, 556, 544, 396

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

Apply this formula for all numbers.

Step1:

LCM(420, 556) = 58380

GCD(420, 556) = ( 420 x 556 ) / 58380

= 420 / 556

= 420

Step2:

LCM(4, 544) = 544

GCD(4, 544) = ( 4 x 544 ) / 544

= 4 / 544

= 4

Step3:

LCM(4, 396) = 396

GCD(4, 396) = ( 4 x 396 ) / 396

= 4 / 396

= 4

So, Greatest Common Divisor of 420, 556, 544, 396 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 984, 948, 502
• GCD of 640, 283, 557, 499
• GCD of 459, 947, 932, 868
• GCD of 361, 291, 968, 841
• GCD of 177, 739, 307, 777

Given numbers are 420, 556, 544, 396
The greatest common divisor of numbers 420, 556, 544, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 556, 544, 396 is 4.

1. What is the GCD of 420, 556, 544, 396?

GCD of given numbers 420, 556, 544, 396 is 4

2. How to calculate the greatest common divisor of 420, 556, 544, 396?

We can find the highest common divisor of 420, 556, 544, 396 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, 556, 544, 396 i.e 4.

3. How can I use the GCD of 420, 556, 544, 396Calculator?

Out the numbers 420, 556, 544, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.