GCD of 64, 289, 628, 188 Calculator

Given Input numbers are 64, 289, 628, 188

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

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 64, 289, 628, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 289, 628, 188 is 1.

Therefore, GCD of numbers 64, 289, 628, 188 is 1

Given Input Data is 64, 289, 628, 188

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

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 188 is 2 x 2 x 47

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(64, 289) = 18496

GCD(64, 289) = ( 64 x 289 ) / 18496

GCD(64, 289) = 18496 / 18496

GCD(64, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 64, 289, 628, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 771, 361, 603
• GCD of 34, 966, 165, 863
• GCD of 34, 133, 843, 162
• GCD of 67, 443, 948, 926
• GCD of 14, 483, 291, 821

1. What is the GCD of 64, 289, 628, 188?

GCD of 64, 289, 628, 188 is 1

2. Where do I get the detailed procedure to find GCD of 64, 289, 628, 188?

You can find a detailed procedure to find GCD of 64, 289, 628, 188 on our page.

3. How to find GCD of 64, 289, 628, 188 on a calculator?

You can find the GCD of 64, 289, 628, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.