GCD of 255, 357, 294, 168 Calculator

Given Input numbers are 255, 357, 294, 168

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

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

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 (255, 357, 294, 168) = 3.

Given numbers are 255, 357, 294, 168

The list of prime factors of all numbers are

Prime factors of 255 are 3 x 5 x 17

Prime factors of 357 are 3 x 7 x 17

Prime factors of 294 are 2 x 3 x 7 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 255, 357, 294, 168 is 3.

Given numbers are 255, 357, 294, 168

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

Apply this formula for all numbers.

Step1:

LCM(255, 357) = 1785

GCD(255, 357) = ( 255 x 357 ) / 1785

= 255 / 357

= 255

Step2:

LCM(51, 294) = 4998

GCD(51, 294) = ( 51 x 294 ) / 4998

= 51 / 294

= 51

Step3:

LCM(3, 168) = 168

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

= 3 / 168

= 3

So, Greatest Common Divisor of 255, 357, 294, 168 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 223, 214, 318
• GCD of 201, 985, 506, 320
• GCD of 684, 332, 946, 921
• GCD of 366, 618, 323, 642
• GCD of 331, 902, 718, 521

Given numbers are 255, 357, 294, 168
The greatest common divisor of numbers 255, 357, 294, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 255, 357, 294, 168 is 3.

1. What is the GCD of 255, 357, 294, 168?

GCD of given numbers 255, 357, 294, 168 is 3

2. How to calculate the greatest common divisor of 255, 357, 294, 168?

We can find the highest common divisor of 255, 357, 294, 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 255, 357, 294, 168 i.e 3.

3. How can I use the GCD of 255, 357, 294, 168Calculator?

Out the numbers 255, 357, 294, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.