GCD of 336, 543, 285, 420 Calculator

Given Input numbers are 336, 543, 285, 420

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

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 (336, 543, 285, 420) = 3.

Given numbers are 336, 543, 285, 420

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 543 are 3 x 181

Prime factors of 285 are 3 x 5 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 336, 543, 285, 420 is 3.

Given numbers are 336, 543, 285, 420

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

Apply this formula for all numbers.

Step1:

LCM(336, 543) = 60816

GCD(336, 543) = ( 336 x 543 ) / 60816

= 336 / 543

= 336

Step2:

LCM(3, 285) = 285

GCD(3, 285) = ( 3 x 285 ) / 285

= 3 / 285

= 3

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 336, 543, 285, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 346, 962, 563
• GCD of 746, 982, 961, 977
• GCD of 184, 919, 593, 956
• GCD of 938, 497, 788, 460
• GCD of 906, 135, 928, 547

Given numbers are 336, 543, 285, 420
The greatest common divisor of numbers 336, 543, 285, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 543, 285, 420 is 3.

1. What is the GCD of 336, 543, 285, 420?

GCD of given numbers 336, 543, 285, 420 is 3

2. How to calculate the greatest common divisor of 336, 543, 285, 420?

We can find the highest common divisor of 336, 543, 285, 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 336, 543, 285, 420 i.e 3.

3. How can I use the GCD of 336, 543, 285, 420Calculator?

Out the numbers 336, 543, 285, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.