GCD of 758, 697, 53, 996 Calculator

Given Input numbers are 758, 697, 53, 996

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 758, 697, 53, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 697, 53, 996 is 1.

Therefore, GCD of numbers 758, 697, 53, 996 is 1

Given Input Data is 758, 697, 53, 996

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 697 is 17 x 41

Prime Factorization of 53 is 53

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(758, 697) = 528326

GCD(758, 697) = ( 758 x 697 ) / 528326

GCD(758, 697) = 528326 / 528326

GCD(758, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 758, 697, 53, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 368, 44, 607
• GCD of 565, 219, 37, 974
• GCD of 101, 688, 21, 498
• GCD of 999, 200, 29, 257
• GCD of 107, 116, 34, 973

1. What is the GCD of 758, 697, 53, 996?

GCD of 758, 697, 53, 996 is 1

2. Where do I get the detailed procedure to find GCD of 758, 697, 53, 996?

You can find a detailed procedure to find GCD of 758, 697, 53, 996 on our page.

3. How to find GCD of 758, 697, 53, 996 on a calculator?

You can find the GCD of 758, 697, 53, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.