GCD of 145, 823, 762, 321 Calculator

Given Input numbers are 145, 823, 762, 321

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

Divisors of 145

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

1, 5, 29, 145

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 762

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

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 145, 823, 762, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 823, 762, 321 is 1.

Therefore, GCD of numbers 145, 823, 762, 321 is 1

Given Input Data is 145, 823, 762, 321

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 823 is 823

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 321 is 3 x 107

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(145, 823) = 119335

GCD(145, 823) = ( 145 x 823 ) / 119335

GCD(145, 823) = 119335 / 119335

GCD(145, 823) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 145, 823, 762, 321 is 1

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1. What is the GCD of 145, 823, 762, 321?

GCD of 145, 823, 762, 321 is 1

2. Where do I get the detailed procedure to find GCD of 145, 823, 762, 321?

You can find a detailed procedure to find GCD of 145, 823, 762, 321 on our page.

3. How to find GCD of 145, 823, 762, 321 on a calculator?

You can find the GCD of 145, 823, 762, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.