GCD of 696, 753, 60, 631 Calculator

Given Input numbers are 696, 753, 60, 631

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Greatest Common Divisior

We found the divisors of 696, 753, 60, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 753, 60, 631 is 1.

Therefore, GCD of numbers 696, 753, 60, 631 is 1

Given Input Data is 696, 753, 60, 631

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 753 is 3 x 251

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 631 is 631

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(696, 753) = 174696

GCD(696, 753) = ( 696 x 753 ) / 174696

GCD(696, 753) = 524088 / 174696

GCD(696, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 631

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

LCM(3, 631) = 1893

GCD(3, 631) = ( 3 x 631 ) / 1893

GCD(3, 631) = 1893 / 1893

GCD(3, 631) = 1

GCD of 696, 753, 60, 631 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 929, 29, 135
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• GCD of 356, 748, 80, 384
• GCD of 996, 796, 20, 707
• GCD of 128, 630, 62, 221

1. What is the GCD of 696, 753, 60, 631?

GCD of 696, 753, 60, 631 is 1

2. Where do I get the detailed procedure to find GCD of 696, 753, 60, 631?

You can find a detailed procedure to find GCD of 696, 753, 60, 631 on our page.

3. How to find GCD of 696, 753, 60, 631 on a calculator?

You can find the GCD of 696, 753, 60, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.