GCD of 858, 279, 270, 168 Calculator

Given Input numbers are 858, 279, 270, 168

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 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

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 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

GCD of numbers is the greatest common divisor

So, the GCD (858, 279, 270, 168) = 3.

Given numbers are 858, 279, 270, 168

The list of prime factors of all numbers are

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

Prime factors of 279 are 3 x 3 x 31

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

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 858, 279, 270, 168 is 3.

Given numbers are 858, 279, 270, 168

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

Apply this formula for all numbers.

Step1:

LCM(858, 279) = 79794

GCD(858, 279) = ( 858 x 279 ) / 79794

= 858 / 279

= 858

Step2:

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

= 3 / 270

= 3

Step3:

LCM(3, 168) = 168

GCD(3, 168) = ( 3 x 168 ) / 168

= 3 / 168

= 3

So, Greatest Common Divisor of 858, 279, 270, 168 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 120, 129, 694
• GCD of 380, 801, 723, 961
• GCD of 596, 178, 578, 240
• GCD of 177, 842, 632, 262
• GCD of 622, 238, 298, 404

Given numbers are 858, 279, 270, 168
The greatest common divisor of numbers 858, 279, 270, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 858, 279, 270, 168 is 3.

1. What is the GCD of 858, 279, 270, 168?

GCD of given numbers 858, 279, 270, 168 is 3

2. How to calculate the greatest common divisor of 858, 279, 270, 168?

We can find the highest common divisor of 858, 279, 270, 168 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, 279, 270, 168 i.e 3.

3. How can I use the GCD of 858, 279, 270, 168Calculator?

Out the numbers 858, 279, 270, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.