GCD of 477, 486, 588, 300 Calculator

Given Input numbers are 477, 486, 588, 300

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

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (477, 486, 588, 300) = 3.

Given numbers are 477, 486, 588, 300

The list of prime factors of all numbers are

Prime factors of 477 are 3 x 3 x 53

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 477, 486, 588, 300 is 3.

Given numbers are 477, 486, 588, 300

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

Apply this formula for all numbers.

Step1:

LCM(477, 486) = 25758

GCD(477, 486) = ( 477 x 486 ) / 25758

= 477 / 486

= 477

Step2:

LCM(9, 588) = 1764

GCD(9, 588) = ( 9 x 588 ) / 1764

= 9 / 588

= 9

Step3:

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

= 3 / 300

= 3

So, Greatest Common Divisor of 477, 486, 588, 300 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 389, 357, 325
• GCD of 603, 226, 560, 660
• GCD of 944, 432, 885, 548
• GCD of 218, 194, 158, 372
• GCD of 769, 840, 670, 406

Given numbers are 477, 486, 588, 300
The greatest common divisor of numbers 477, 486, 588, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 477, 486, 588, 300 is 3.

1. What is the GCD of 477, 486, 588, 300?

GCD of given numbers 477, 486, 588, 300 is 3

2. How to calculate the greatest common divisor of 477, 486, 588, 300?

We can find the highest common divisor of 477, 486, 588, 300 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 477, 486, 588, 300 i.e 3.

3. How can I use the GCD of 477, 486, 588, 300Calculator?

Out the numbers 477, 486, 588, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.