GCD of 785, 505, 28, 722 Calculator

Given Input numbers are 785, 505, 28, 722

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

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 785, 505, 28, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 505, 28, 722 is 1.

Therefore, GCD of numbers 785, 505, 28, 722 is 1

Given Input Data is 785, 505, 28, 722

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 505 is 5 x 101

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 722 is 2 x 19 x 19

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(785, 505) = 79285

GCD(785, 505) = ( 785 x 505 ) / 79285

GCD(785, 505) = 396425 / 79285

GCD(785, 505) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 28

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

LCM(5, 28) = 140

GCD(5, 28) = ( 5 x 28 ) / 140

GCD(5, 28) = 140 / 140

GCD(5, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 785, 505, 28, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 863, 644, 42, 433
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• GCD of 900, 279, 70, 183
• GCD of 207, 486, 73, 857

1. What is the GCD of 785, 505, 28, 722?

GCD of 785, 505, 28, 722 is 1

2. Where do I get the detailed procedure to find GCD of 785, 505, 28, 722?

You can find a detailed procedure to find GCD of 785, 505, 28, 722 on our page.

3. How to find GCD of 785, 505, 28, 722 on a calculator?

You can find the GCD of 785, 505, 28, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.