GCD of 186, 628, 65, 746 Calculator

Given Input numbers are 186, 628, 65, 746

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

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 186, 628, 65, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 186, 628, 65, 746 is 1.

Therefore, GCD of numbers 186, 628, 65, 746 is 1

Given Input Data is 186, 628, 65, 746

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

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 65 is 5 x 13

Prime Factorization of 746 is 2 x 373

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(186, 628) = 58404

GCD(186, 628) = ( 186 x 628 ) / 58404

GCD(186, 628) = 116808 / 58404

GCD(186, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 186, 628, 65, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 550, 96, 897
• GCD of 220, 155, 78, 419
• GCD of 136, 172, 76, 549
• GCD of 582, 402, 23, 768
• GCD of 405, 399, 61, 773

1. What is the GCD of 186, 628, 65, 746?

GCD of 186, 628, 65, 746 is 1

2. Where do I get the detailed procedure to find GCD of 186, 628, 65, 746?

You can find a detailed procedure to find GCD of 186, 628, 65, 746 on our page.

3. How to find GCD of 186, 628, 65, 746 on a calculator?

You can find the GCD of 186, 628, 65, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.