GCD of 369, 691, 153, 588 Calculator

Given Input numbers are 369, 691, 153, 588

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 369, 691, 153, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 691, 153, 588 is 1.

Therefore, GCD of numbers 369, 691, 153, 588 is 1

Given Input Data is 369, 691, 153, 588

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 691 is 691

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(369, 691) = 254979

GCD(369, 691) = ( 369 x 691 ) / 254979

GCD(369, 691) = 254979 / 254979

GCD(369, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 369, 691, 153, 588 is 1

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1. What is the GCD of 369, 691, 153, 588?

GCD of 369, 691, 153, 588 is 1

2. Where do I get the detailed procedure to find GCD of 369, 691, 153, 588?

You can find a detailed procedure to find GCD of 369, 691, 153, 588 on our page.

3. How to find GCD of 369, 691, 153, 588 on a calculator?

You can find the GCD of 369, 691, 153, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.