GCD of 858, 637, 74, 916 Calculator

Given Input numbers are 858, 637, 74, 916

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

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 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 858, 637, 74, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 637, 74, 916 is 1.

Therefore, GCD of numbers 858, 637, 74, 916 is 1

Given Input Data is 858, 637, 74, 916

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

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

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 74 is 2 x 37

Prime Factorization of 916 is 2 x 2 x 229

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(858, 637) = 42042

GCD(858, 637) = ( 858 x 637 ) / 42042

GCD(858, 637) = 546546 / 42042

GCD(858, 637) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 74

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

LCM(13, 74) = 962

GCD(13, 74) = ( 13 x 74 ) / 962

GCD(13, 74) = 962 / 962

GCD(13, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 858, 637, 74, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 800, 93, 660
• GCD of 117, 668, 13, 333
• GCD of 553, 214, 13, 128
• GCD of 278, 580, 33, 934
• GCD of 191, 444, 44, 785

1. What is the GCD of 858, 637, 74, 916?

GCD of 858, 637, 74, 916 is 1

2. Where do I get the detailed procedure to find GCD of 858, 637, 74, 916?

You can find a detailed procedure to find GCD of 858, 637, 74, 916 on our page.

3. How to find GCD of 858, 637, 74, 916 on a calculator?

You can find the GCD of 858, 637, 74, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.