GCD of 149, 821, 361, 453 Calculator

Given Input numbers are 149, 821, 361, 453

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 821

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

1, 821

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

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 149, 821, 361, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 821, 361, 453 is 1.

Therefore, GCD of numbers 149, 821, 361, 453 is 1

Given Input Data is 149, 821, 361, 453

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

Prime Factorization of 149 is 149

Prime Factorization of 821 is 821

Prime Factorization of 361 is 19 x 19

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(149, 821) = 122329

GCD(149, 821) = ( 149 x 821 ) / 122329

GCD(149, 821) = 122329 / 122329

GCD(149, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 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 149, 821, 361, 453 is 1

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1. What is the GCD of 149, 821, 361, 453?

GCD of 149, 821, 361, 453 is 1

2. Where do I get the detailed procedure to find GCD of 149, 821, 361, 453?

You can find a detailed procedure to find GCD of 149, 821, 361, 453 on our page.

3. How to find GCD of 149, 821, 361, 453 on a calculator?

You can find the GCD of 149, 821, 361, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.