GCD of 628, 636, 497, 705 Calculator

Given Input numbers are 628, 636, 497, 705

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 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 628, 636, 497, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 636, 497, 705 is 1.

Therefore, GCD of numbers 628, 636, 497, 705 is 1

Given Input Data is 628, 636, 497, 705

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 636 is 2 x 2 x 3 x 53

Prime Factorization of 497 is 7 x 71

Prime Factorization of 705 is 3 x 5 x 47

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, 636) = 99852

GCD(628, 636) = ( 628 x 636 ) / 99852

GCD(628, 636) = 399408 / 99852

GCD(628, 636) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 497

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

LCM(4, 497) = 1988

GCD(4, 497) = ( 4 x 497 ) / 1988

GCD(4, 497) = 1988 / 1988

GCD(4, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 628, 636, 497, 705 is 1

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1. What is the GCD of 628, 636, 497, 705?

GCD of 628, 636, 497, 705 is 1

2. Where do I get the detailed procedure to find GCD of 628, 636, 497, 705?

You can find a detailed procedure to find GCD of 628, 636, 497, 705 on our page.

3. How to find GCD of 628, 636, 497, 705 on a calculator?

You can find the GCD of 628, 636, 497, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.