GCD of 69, 742, 773, 453 Calculator

Given Input numbers are 69, 742, 773, 453

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 69, 742, 773, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 742, 773, 453 is 1.

Therefore, GCD of numbers 69, 742, 773, 453 is 1

Given Input Data is 69, 742, 773, 453

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 773 is 773

Prime Factorization of 453 is 3 x 151

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(69, 742) = 51198

GCD(69, 742) = ( 69 x 742 ) / 51198

GCD(69, 742) = 51198 / 51198

GCD(69, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 773

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

LCM(1, 773) = 773

GCD(1, 773) = ( 1 x 773 ) / 773

GCD(1, 773) = 773 / 773

GCD(1, 773) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

GCD of 69, 742, 773, 453 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 231, 796, 159
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• GCD of 41, 269, 295, 467

1. What is the GCD of 69, 742, 773, 453?

GCD of 69, 742, 773, 453 is 1

2. Where do I get the detailed procedure to find GCD of 69, 742, 773, 453?

You can find a detailed procedure to find GCD of 69, 742, 773, 453 on our page.

3. How to find GCD of 69, 742, 773, 453 on a calculator?

You can find the GCD of 69, 742, 773, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.