GCD of 858, 270, 27, 546 Calculator

Given Input numbers are 858, 270, 27, 546

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

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

GCD of numbers is the greatest common divisor

So, the GCD (858, 270, 27, 546) = 3.

Given numbers are 858, 270, 27, 546

The list of prime factors of all numbers are

Prime factors of 858 are 2 x 3 x 11 x 13

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 27 are 3 x 3 x 3

Prime factors of 546 are 2 x 3 x 7 x 13

The highest common occurrence is 3¹

Therefore, GCD of 858, 270, 27, 546 is 3.

Given numbers are 858, 270, 27, 546

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

Apply this formula for all numbers.

Step1:

LCM(858, 270) = 38610

GCD(858, 270) = ( 858 x 270 ) / 38610

= 858 / 270

= 858

Step2:

LCM(6, 27) = 54

GCD(6, 27) = ( 6 x 27 ) / 54

= 6 / 27

= 6

Step3:

LCM(3, 546) = 546

GCD(3, 546) = ( 3 x 546 ) / 546

= 3 / 546

= 3

So, Greatest Common Divisor of 858, 270, 27, 546 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 241, 76, 552
• GCD of 469, 382, 22, 789
• GCD of 849, 298, 87, 939
• GCD of 929, 564, 30, 547
• GCD of 322, 152, 75, 792

Given numbers are 858, 270, 27, 546
The greatest common divisor of numbers 858, 270, 27, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 270, 27, 546 is 3.

1. What is the GCD of 858, 270, 27, 546?

GCD of given numbers 858, 270, 27, 546 is 3

2. How to calculate the greatest common divisor of 858, 270, 27, 546?

We can find the highest common divisor of 858, 270, 27, 546 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 858, 270, 27, 546 i.e 3.

3. How can I use the GCD of 858, 270, 27, 546Calculator?

Out the numbers 858, 270, 27, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.