GCD of 211, 743, 921, 465 Calculator

Given Input numbers are 211, 743, 921, 465

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

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 211, 743, 921, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 211, 743, 921, 465 is 1.

Therefore, GCD of numbers 211, 743, 921, 465 is 1

Given Input Data is 211, 743, 921, 465

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

Prime Factorization of 211 is 211

Prime Factorization of 743 is 743

Prime Factorization of 921 is 3 x 307

Prime Factorization of 465 is 3 x 5 x 31

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(211, 743) = 156773

GCD(211, 743) = ( 211 x 743 ) / 156773

GCD(211, 743) = 156773 / 156773

GCD(211, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 211, 743, 921, 465 is 1

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1. What is the GCD of 211, 743, 921, 465?

GCD of 211, 743, 921, 465 is 1

2. Where do I get the detailed procedure to find GCD of 211, 743, 921, 465?

You can find a detailed procedure to find GCD of 211, 743, 921, 465 on our page.

3. How to find GCD of 211, 743, 921, 465 on a calculator?

You can find the GCD of 211, 743, 921, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.