GCD of 837, 687, 10, 749 Calculator

Given Input numbers are 837, 687, 10, 749

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

Divisors of 837

List of positive integer divisors of 837 that divides 837 without a remainder.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 837, 687, 10, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 837, 687, 10, 749 is 1.

Therefore, GCD of numbers 837, 687, 10, 749 is 1

Given Input Data is 837, 687, 10, 749

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

Prime Factorization of 837 is 3 x 3 x 3 x 31

Prime Factorization of 687 is 3 x 229

Prime Factorization of 10 is 2 x 5

Prime Factorization of 749 is 7 x 107

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(837, 687) = 191673

GCD(837, 687) = ( 837 x 687 ) / 191673

GCD(837, 687) = 575019 / 191673

GCD(837, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 10

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

LCM(3, 10) = 30

GCD(3, 10) = ( 3 x 10 ) / 30

GCD(3, 10) = 30 / 30

GCD(3, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 837, 687, 10, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 402, 78, 361
• GCD of 453, 666, 89, 702
• GCD of 849, 378, 10, 709
• GCD of 973, 851, 77, 455
• GCD of 816, 457, 72, 322

1. What is the GCD of 837, 687, 10, 749?

GCD of 837, 687, 10, 749 is 1

2. Where do I get the detailed procedure to find GCD of 837, 687, 10, 749?

You can find a detailed procedure to find GCD of 837, 687, 10, 749 on our page.

3. How to find GCD of 837, 687, 10, 749 on a calculator?

You can find the GCD of 837, 687, 10, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.