GCD of 759, 205, 145, 371 Calculator

Given Input numbers are 759, 205, 145, 371

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 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 759, 205, 145, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 205, 145, 371 is 1.

Therefore, GCD of numbers 759, 205, 145, 371 is 1

Given Input Data is 759, 205, 145, 371

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 205 is 5 x 41

Prime Factorization of 145 is 5 x 29

Prime Factorization of 371 is 7 x 53

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, 205) = 155595

GCD(759, 205) = ( 759 x 205 ) / 155595

GCD(759, 205) = 155595 / 155595

GCD(759, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 759, 205, 145, 371 is 1

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1. What is the GCD of 759, 205, 145, 371?

GCD of 759, 205, 145, 371 is 1

2. Where do I get the detailed procedure to find GCD of 759, 205, 145, 371?

You can find a detailed procedure to find GCD of 759, 205, 145, 371 on our page.

3. How to find GCD of 759, 205, 145, 371 on a calculator?

You can find the GCD of 759, 205, 145, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.