GCD of 282, 402, 420, 558 Calculator

Given Input numbers are 282, 402, 420, 558

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

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

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 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (282, 402, 420, 558) = 6.

Given numbers are 282, 402, 420, 558

The list of prime factors of all numbers are

Prime factors of 282 are 2 x 3 x 47

Prime factors of 402 are 2 x 3 x 67

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

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 282, 402, 420, 558 is 6.

Given numbers are 282, 402, 420, 558

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

Apply this formula for all numbers.

Step1:

LCM(282, 402) = 18894

GCD(282, 402) = ( 282 x 402 ) / 18894

= 282 / 402

= 282

Step2:

LCM(6, 420) = 420

GCD(6, 420) = ( 6 x 420 ) / 420

= 6 / 420

= 6

Step3:

LCM(6, 558) = 558

GCD(6, 558) = ( 6 x 558 ) / 558

= 6 / 558

= 6

So, Greatest Common Divisor of 282, 402, 420, 558 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 301, 131, 391
• GCD of 131, 840, 334, 118
• GCD of 473, 392, 203, 112
• GCD of 549, 424, 528, 900
• GCD of 761, 465, 111, 351

Given numbers are 282, 402, 420, 558
The greatest common divisor of numbers 282, 402, 420, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 282, 402, 420, 558 is 6.

1. What is the GCD of 282, 402, 420, 558?

GCD of given numbers 282, 402, 420, 558 is 6

2. How to calculate the greatest common divisor of 282, 402, 420, 558?

We can find the highest common divisor of 282, 402, 420, 558 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 282, 402, 420, 558 i.e 6.

3. How can I use the GCD of 282, 402, 420, 558Calculator?

Out the numbers 282, 402, 420, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.