GCD of 613, 858, 40, 123 Calculator

Given Input numbers are 613, 858, 40, 123

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

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 613, 858, 40, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 613, 858, 40, 123 is 1.

Therefore, GCD of numbers 613, 858, 40, 123 is 1

Given Input Data is 613, 858, 40, 123

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

Prime Factorization of 613 is 613

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 123 is 3 x 41

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(613, 858) = 525954

GCD(613, 858) = ( 613 x 858 ) / 525954

GCD(613, 858) = 525954 / 525954

GCD(613, 858) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 613, 858, 40, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 386, 77, 231
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• GCD of 684, 779, 24, 647
• GCD of 234, 615, 96, 687
• GCD of 103, 260, 14, 530

1. What is the GCD of 613, 858, 40, 123?

GCD of 613, 858, 40, 123 is 1

2. Where do I get the detailed procedure to find GCD of 613, 858, 40, 123?

You can find a detailed procedure to find GCD of 613, 858, 40, 123 on our page.

3. How to find GCD of 613, 858, 40, 123 on a calculator?

You can find the GCD of 613, 858, 40, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.