GCD of 828, 600, 258, 555 Calculator

Given Input numbers are 828, 600, 258, 555

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 555 :

The positive integer divisors of 555 that completely divides 555 are.

1, 3, 5, 15, 37, 111, 185, 555

GCD of numbers is the greatest common divisor

So, the GCD (828, 600, 258, 555) = 3.

Given numbers are 828, 600, 258, 555

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 258 are 2 x 3 x 43

Prime factors of 555 are 3 x 5 x 37

The highest common occurrence is 3¹

Therefore, GCD of 828, 600, 258, 555 is 3.

Given numbers are 828, 600, 258, 555

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

Apply this formula for all numbers.

Step1:

LCM(828, 600) = 41400

GCD(828, 600) = ( 828 x 600 ) / 41400

= 828 / 600

= 828

Step2:

LCM(12, 258) = 516

GCD(12, 258) = ( 12 x 258 ) / 516

= 12 / 258

= 12

Step3:

LCM(6, 555) = 1110

GCD(6, 555) = ( 6 x 555 ) / 1110

= 6 / 555

= 6

So, Greatest Common Divisor of 828, 600, 258, 555 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 646, 460, 798
• GCD of 532, 883, 306, 477
• GCD of 832, 933, 619, 146
• GCD of 860, 421, 494, 938
• GCD of 362, 133, 205, 214

Given numbers are 828, 600, 258, 555
The greatest common divisor of numbers 828, 600, 258, 555 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 600, 258, 555 is 3.

1. What is the GCD of 828, 600, 258, 555?

GCD of given numbers 828, 600, 258, 555 is 3

2. How to calculate the greatest common divisor of 828, 600, 258, 555?

We can find the highest common divisor of 828, 600, 258, 555 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 828, 600, 258, 555 i.e 3.

3. How can I use the GCD of 828, 600, 258, 555Calculator?

Out the numbers 828, 600, 258, 555 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.