GCD of 456, 678, 183, 358 Calculator

Given Input numbers are 456, 678, 183, 358

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 456, 678, 183, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 678, 183, 358 is 1.

Therefore, GCD of numbers 456, 678, 183, 358 is 1

Given Input Data is 456, 678, 183, 358

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 183 is 3 x 61

Prime Factorization of 358 is 2 x 179

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(456, 678) = 51528

GCD(456, 678) = ( 456 x 678 ) / 51528

GCD(456, 678) = 309168 / 51528

GCD(456, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 183

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

LCM(6, 183) = 366

GCD(6, 183) = ( 6 x 183 ) / 366

GCD(6, 183) = 1098 / 366

GCD(6, 183) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 358

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

LCM(3, 358) = 1074

GCD(3, 358) = ( 3 x 358 ) / 1074

GCD(3, 358) = 1074 / 1074

GCD(3, 358) = 1

GCD of 456, 678, 183, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 803, 836, 261
• GCD of 219, 878, 487, 319
• GCD of 600, 341, 110, 611
• GCD of 396, 701, 696, 544
• GCD of 183, 718, 796, 502

1. What is the GCD of 456, 678, 183, 358?

GCD of 456, 678, 183, 358 is 1

2. Where do I get the detailed procedure to find GCD of 456, 678, 183, 358?

You can find a detailed procedure to find GCD of 456, 678, 183, 358 on our page.

3. How to find GCD of 456, 678, 183, 358 on a calculator?

You can find the GCD of 456, 678, 183, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.