GCD of 657, 407, 36, 618 Calculator

Given Input numbers are 657, 407, 36, 618

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 657, 407, 36, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 407, 36, 618 is 1.

Therefore, GCD of numbers 657, 407, 36, 618 is 1

Given Input Data is 657, 407, 36, 618

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 407 is 11 x 37

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 618 is 2 x 3 x 103

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, 407) = 267399

GCD(657, 407) = ( 657 x 407 ) / 267399

GCD(657, 407) = 267399 / 267399

GCD(657, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

GCD of 657, 407, 36, 618 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 857, 34, 312
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• GCD of 840, 564, 66, 430
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• GCD of 956, 623, 64, 710

1. What is the GCD of 657, 407, 36, 618?

GCD of 657, 407, 36, 618 is 1

2. Where do I get the detailed procedure to find GCD of 657, 407, 36, 618?

You can find a detailed procedure to find GCD of 657, 407, 36, 618 on our page.

3. How to find GCD of 657, 407, 36, 618 on a calculator?

You can find the GCD of 657, 407, 36, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.