GCD of 759, 534, 58, 753 Calculator

Given Input numbers are 759, 534, 58, 753

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 753

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

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 759, 534, 58, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 534, 58, 753 is 1.

Therefore, GCD of numbers 759, 534, 58, 753 is 1

Given Input Data is 759, 534, 58, 753

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 58 is 2 x 29

Prime Factorization of 753 is 3 x 251

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(759, 534) = 135102

GCD(759, 534) = ( 759 x 534 ) / 135102

GCD(759, 534) = 405306 / 135102

GCD(759, 534) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 58

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

LCM(3, 58) = 174

GCD(3, 58) = ( 3 x 58 ) / 174

GCD(3, 58) = 174 / 174

GCD(3, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 759, 534, 58, 753 is 1

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1. What is the GCD of 759, 534, 58, 753?

GCD of 759, 534, 58, 753 is 1

2. Where do I get the detailed procedure to find GCD of 759, 534, 58, 753?

You can find a detailed procedure to find GCD of 759, 534, 58, 753 on our page.

3. How to find GCD of 759, 534, 58, 753 on a calculator?

You can find the GCD of 759, 534, 58, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.