GCD of 358, 725, 64, 689 Calculator

Given Input numbers are 358, 725, 64, 689

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

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 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 358, 725, 64, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 725, 64, 689 is 1.

Therefore, GCD of numbers 358, 725, 64, 689 is 1

Given Input Data is 358, 725, 64, 689

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 725 is 5 x 5 x 29

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

Prime Factorization of 689 is 13 x 53

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(358, 725) = 259550

GCD(358, 725) = ( 358 x 725 ) / 259550

GCD(358, 725) = 259550 / 259550

GCD(358, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 358, 725, 64, 689 is 1

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1. What is the GCD of 358, 725, 64, 689?

GCD of 358, 725, 64, 689 is 1

2. Where do I get the detailed procedure to find GCD of 358, 725, 64, 689?

You can find a detailed procedure to find GCD of 358, 725, 64, 689 on our page.

3. How to find GCD of 358, 725, 64, 689 on a calculator?

You can find the GCD of 358, 725, 64, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.