GCD of 558, 354, 300, 261 Calculator

Given Input numbers are 558, 354, 300, 261

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

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (558, 354, 300, 261) = 3.

Given numbers are 558, 354, 300, 261

The list of prime factors of all numbers are

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

Prime factors of 354 are 2 x 3 x 59

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

Prime factors of 261 are 3 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 558, 354, 300, 261 is 3.

Given numbers are 558, 354, 300, 261

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

Apply this formula for all numbers.

Step1:

LCM(558, 354) = 32922

GCD(558, 354) = ( 558 x 354 ) / 32922

= 558 / 354

= 558

Step2:

LCM(6, 300) = 300

GCD(6, 300) = ( 6 x 300 ) / 300

= 6 / 300

= 6

Step3:

LCM(6, 261) = 522

GCD(6, 261) = ( 6 x 261 ) / 522

= 6 / 261

= 6

So, Greatest Common Divisor of 558, 354, 300, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 557, 856, 746
• GCD of 714, 119, 358, 751
• GCD of 340, 427, 500, 436
• GCD of 724, 939, 773, 250
• GCD of 541, 860, 713, 586

Given numbers are 558, 354, 300, 261
The greatest common divisor of numbers 558, 354, 300, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 354, 300, 261 is 3.

1. What is the GCD of 558, 354, 300, 261?

GCD of given numbers 558, 354, 300, 261 is 3

2. How to calculate the greatest common divisor of 558, 354, 300, 261?

We can find the highest common divisor of 558, 354, 300, 261 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 558, 354, 300, 261 i.e 3.

3. How can I use the GCD of 558, 354, 300, 261Calculator?

Out the numbers 558, 354, 300, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.