GCD of 59, 696, 524, 762 Calculator

Given Input numbers are 59, 696, 524, 762

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 59, 696, 524, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 696, 524, 762 is 1.

Therefore, GCD of numbers 59, 696, 524, 762 is 1

Given Input Data is 59, 696, 524, 762

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

Prime Factorization of 59 is 59

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

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 762 is 2 x 3 x 127

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(59, 696) = 41064

GCD(59, 696) = ( 59 x 696 ) / 41064

GCD(59, 696) = 41064 / 41064

GCD(59, 696) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 59, 696, 524, 762 is 1

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1. What is the GCD of 59, 696, 524, 762?

GCD of 59, 696, 524, 762 is 1

2. Where do I get the detailed procedure to find GCD of 59, 696, 524, 762?

You can find a detailed procedure to find GCD of 59, 696, 524, 762 on our page.

3. How to find GCD of 59, 696, 524, 762 on a calculator?

You can find the GCD of 59, 696, 524, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.