GCD of 821, 909, 62, 742 Calculator

Given Input numbers are 821, 909, 62, 742

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 742

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

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

Greatest Common Divisior

We found the divisors of 821, 909, 62, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 909, 62, 742 is 1.

Therefore, GCD of numbers 821, 909, 62, 742 is 1

Given Input Data is 821, 909, 62, 742

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

Prime Factorization of 821 is 821

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 62 is 2 x 31

Prime Factorization of 742 is 2 x 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(821, 909) = 746289

GCD(821, 909) = ( 821 x 909 ) / 746289

GCD(821, 909) = 746289 / 746289

GCD(821, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 62

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

LCM(1, 62) = 62

GCD(1, 62) = ( 1 x 62 ) / 62

GCD(1, 62) = 62 / 62

GCD(1, 62) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 821, 909, 62, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 916, 57, 307
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1. What is the GCD of 821, 909, 62, 742?

GCD of 821, 909, 62, 742 is 1

2. Where do I get the detailed procedure to find GCD of 821, 909, 62, 742?

You can find a detailed procedure to find GCD of 821, 909, 62, 742 on our page.

3. How to find GCD of 821, 909, 62, 742 on a calculator?

You can find the GCD of 821, 909, 62, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.