GCD of 838, 707, 629, 505 Calculator

Given Input numbers are 838, 707, 629, 505

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 505

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

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 838, 707, 629, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 707, 629, 505 is 1.

Therefore, GCD of numbers 838, 707, 629, 505 is 1

Given Input Data is 838, 707, 629, 505

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 707 is 7 x 101

Prime Factorization of 629 is 17 x 37

Prime Factorization of 505 is 5 x 101

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(838, 707) = 592466

GCD(838, 707) = ( 838 x 707 ) / 592466

GCD(838, 707) = 592466 / 592466

GCD(838, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 838, 707, 629, 505 is 1

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1. What is the GCD of 838, 707, 629, 505?

GCD of 838, 707, 629, 505 is 1

2. Where do I get the detailed procedure to find GCD of 838, 707, 629, 505?

You can find a detailed procedure to find GCD of 838, 707, 629, 505 on our page.

3. How to find GCD of 838, 707, 629, 505 on a calculator?

You can find the GCD of 838, 707, 629, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.