GCD of 457, 546, 388, 358 Calculator

Given Input numbers are 457, 546, 388, 358

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

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 457, 546, 388, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 546, 388, 358 is 1.

Therefore, GCD of numbers 457, 546, 388, 358 is 1

Given Input Data is 457, 546, 388, 358

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

Prime Factorization of 457 is 457

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 388 is 2 x 2 x 97

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(457, 546) = 249522

GCD(457, 546) = ( 457 x 546 ) / 249522

GCD(457, 546) = 249522 / 249522

GCD(457, 546) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 388

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

LCM(1, 388) = 388

GCD(1, 388) = ( 1 x 388 ) / 388

GCD(1, 388) = 388 / 388

GCD(1, 388) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 457, 546, 388, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 613, 547, 900
• GCD of 545, 686, 122, 899
• GCD of 437, 811, 686, 246
• GCD of 705, 193, 261, 531
• GCD of 217, 795, 503, 897

1. What is the GCD of 457, 546, 388, 358?

GCD of 457, 546, 388, 358 is 1

2. Where do I get the detailed procedure to find GCD of 457, 546, 388, 358?

You can find a detailed procedure to find GCD of 457, 546, 388, 358 on our page.

3. How to find GCD of 457, 546, 388, 358 on a calculator?

You can find the GCD of 457, 546, 388, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.