GCD of 901, 182, 584, 693 Calculator

Given Input numbers are 901, 182, 584, 693

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 901, 182, 584, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 182, 584, 693 is 1.

Therefore, GCD of numbers 901, 182, 584, 693 is 1

Given Input Data is 901, 182, 584, 693

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(901, 182) = 163982

GCD(901, 182) = ( 901 x 182 ) / 163982

GCD(901, 182) = 163982 / 163982

GCD(901, 182) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 901, 182, 584, 693 is 1

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1. What is the GCD of 901, 182, 584, 693?

GCD of 901, 182, 584, 693 is 1

2. Where do I get the detailed procedure to find GCD of 901, 182, 584, 693?

You can find a detailed procedure to find GCD of 901, 182, 584, 693 on our page.

3. How to find GCD of 901, 182, 584, 693 on a calculator?

You can find the GCD of 901, 182, 584, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.