GCD of 772, 648, 202, 685 Calculator

Given Input numbers are 772, 648, 202, 685

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 772, 648, 202, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 648, 202, 685 is 1.

Therefore, GCD of numbers 772, 648, 202, 685 is 1

Given Input Data is 772, 648, 202, 685

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 202 is 2 x 101

Prime Factorization of 685 is 5 x 137

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(772, 648) = 125064

GCD(772, 648) = ( 772 x 648 ) / 125064

GCD(772, 648) = 500256 / 125064

GCD(772, 648) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 202

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

LCM(4, 202) = 404

GCD(4, 202) = ( 4 x 202 ) / 404

GCD(4, 202) = 808 / 404

GCD(4, 202) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 685

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

LCM(2, 685) = 1370

GCD(2, 685) = ( 2 x 685 ) / 1370

GCD(2, 685) = 1370 / 1370

GCD(2, 685) = 1

GCD of 772, 648, 202, 685 is 1

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1. What is the GCD of 772, 648, 202, 685?

GCD of 772, 648, 202, 685 is 1

2. Where do I get the detailed procedure to find GCD of 772, 648, 202, 685?

You can find a detailed procedure to find GCD of 772, 648, 202, 685 on our page.

3. How to find GCD of 772, 648, 202, 685 on a calculator?

You can find the GCD of 772, 648, 202, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.