GCD of 161, 690, 64, 728 Calculator

Given Input numbers are 161, 690, 64, 728

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

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 161, 690, 64, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 690, 64, 728 is 1.

Therefore, GCD of numbers 161, 690, 64, 728 is 1

Given Input Data is 161, 690, 64, 728

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

Prime Factorization of 161 is 7 x 23

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(161, 690) = 4830

GCD(161, 690) = ( 161 x 690 ) / 4830

GCD(161, 690) = 111090 / 4830

GCD(161, 690) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 64

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

LCM(23, 64) = 1472

GCD(23, 64) = ( 23 x 64 ) / 1472

GCD(23, 64) = 1472 / 1472

GCD(23, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 161, 690, 64, 728 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 199, 978, 88, 532

1. What is the GCD of 161, 690, 64, 728?

GCD of 161, 690, 64, 728 is 1

2. Where do I get the detailed procedure to find GCD of 161, 690, 64, 728?

You can find a detailed procedure to find GCD of 161, 690, 64, 728 on our page.

3. How to find GCD of 161, 690, 64, 728 on a calculator?

You can find the GCD of 161, 690, 64, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.