GCD of 732, 182, 69, 690 Calculator

Given Input numbers are 732, 182, 69, 690

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 732, 182, 69, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 182, 69, 690 is 1.

Therefore, GCD of numbers 732, 182, 69, 690 is 1

Given Input Data is 732, 182, 69, 690

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 69 is 3 x 23

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(732, 182) = 66612

GCD(732, 182) = ( 732 x 182 ) / 66612

GCD(732, 182) = 133224 / 66612

GCD(732, 182) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 732, 182, 69, 690 is 1

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1. What is the GCD of 732, 182, 69, 690?

GCD of 732, 182, 69, 690 is 1

2. Where do I get the detailed procedure to find GCD of 732, 182, 69, 690?

You can find a detailed procedure to find GCD of 732, 182, 69, 690 on our page.

3. How to find GCD of 732, 182, 69, 690 on a calculator?

You can find the GCD of 732, 182, 69, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.