GCD of 732, 652, 71, 628 Calculator

Given Input numbers are 732, 652, 71, 628

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 628

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

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 732, 652, 71, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 652, 71, 628 is 1.

Therefore, GCD of numbers 732, 652, 71, 628 is 1

Given Input Data is 732, 652, 71, 628

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 71 is 71

Prime Factorization of 628 is 2 x 2 x 157

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(732, 652) = 119316

GCD(732, 652) = ( 732 x 652 ) / 119316

GCD(732, 652) = 477264 / 119316

GCD(732, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 71

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

LCM(4, 71) = 284

GCD(4, 71) = ( 4 x 71 ) / 284

GCD(4, 71) = 284 / 284

GCD(4, 71) = 1

Step3:

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

GCD of 732, 652, 71, 628 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 993, 32, 698
• GCD of 312, 323, 35, 308
• GCD of 751, 161, 62, 283
• GCD of 686, 783, 64, 266
• GCD of 399, 111, 88, 419

1. What is the GCD of 732, 652, 71, 628?

GCD of 732, 652, 71, 628 is 1

2. Where do I get the detailed procedure to find GCD of 732, 652, 71, 628?

You can find a detailed procedure to find GCD of 732, 652, 71, 628 on our page.

3. How to find GCD of 732, 652, 71, 628 on a calculator?

You can find the GCD of 732, 652, 71, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.