GCD of 657, 507, 46, 358 Calculator

Given Input numbers are 657, 507, 46, 358

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 657, 507, 46, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 507, 46, 358 is 1.

Therefore, GCD of numbers 657, 507, 46, 358 is 1

Given Input Data is 657, 507, 46, 358

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 46 is 2 x 23

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(657, 507) = 111033

GCD(657, 507) = ( 657 x 507 ) / 111033

GCD(657, 507) = 333099 / 111033

GCD(657, 507) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 46

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

LCM(3, 46) = 138

GCD(3, 46) = ( 3 x 46 ) / 138

GCD(3, 46) = 138 / 138

GCD(3, 46) = 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 657, 507, 46, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 339, 53, 452
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• GCD of 134, 648, 29, 131
• GCD of 409, 542, 69, 125
• GCD of 752, 737, 76, 412

1. What is the GCD of 657, 507, 46, 358?

GCD of 657, 507, 46, 358 is 1

2. Where do I get the detailed procedure to find GCD of 657, 507, 46, 358?

You can find a detailed procedure to find GCD of 657, 507, 46, 358 on our page.

3. How to find GCD of 657, 507, 46, 358 on a calculator?

You can find the GCD of 657, 507, 46, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.