GCD of 640, 668, 185, 653 Calculator

Given Input numbers are 640, 668, 185, 653

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 640, 668, 185, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 668, 185, 653 is 1.

Therefore, GCD of numbers 640, 668, 185, 653 is 1

Given Input Data is 640, 668, 185, 653

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 185 is 5 x 37

Prime Factorization of 653 is 653

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(640, 668) = 106880

GCD(640, 668) = ( 640 x 668 ) / 106880

GCD(640, 668) = 427520 / 106880

GCD(640, 668) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 185

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

LCM(4, 185) = 740

GCD(4, 185) = ( 4 x 185 ) / 740

GCD(4, 185) = 740 / 740

GCD(4, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 640, 668, 185, 653 is 1

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1. What is the GCD of 640, 668, 185, 653?

GCD of 640, 668, 185, 653 is 1

2. Where do I get the detailed procedure to find GCD of 640, 668, 185, 653?

You can find a detailed procedure to find GCD of 640, 668, 185, 653 on our page.

3. How to find GCD of 640, 668, 185, 653 on a calculator?

You can find the GCD of 640, 668, 185, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.