GCD of 628, 760, 72, 651 Calculator

Given Input numbers are 628, 760, 72, 651

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

Divisors of 628

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

1, 2, 4, 157, 314, 628

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Greatest Common Divisior

We found the divisors of 628, 760, 72, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 760, 72, 651 is 1.

Therefore, GCD of numbers 628, 760, 72, 651 is 1

Given Input Data is 628, 760, 72, 651

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 651 is 3 x 7 x 31

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(628, 760) = 119320

GCD(628, 760) = ( 628 x 760 ) / 119320

GCD(628, 760) = 477280 / 119320

GCD(628, 760) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 651

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

LCM(4, 651) = 2604

GCD(4, 651) = ( 4 x 651 ) / 2604

GCD(4, 651) = 2604 / 2604

GCD(4, 651) = 1

GCD of 628, 760, 72, 651 is 1

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1. What is the GCD of 628, 760, 72, 651?

GCD of 628, 760, 72, 651 is 1

2. Where do I get the detailed procedure to find GCD of 628, 760, 72, 651?

You can find a detailed procedure to find GCD of 628, 760, 72, 651 on our page.

3. How to find GCD of 628, 760, 72, 651 on a calculator?

You can find the GCD of 628, 760, 72, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.