GCD of 745, 835, 984, 623 Calculator

Given Input numbers are 745, 835, 984, 623

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 745, 835, 984, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 835, 984, 623 is 1.

Therefore, GCD of numbers 745, 835, 984, 623 is 1

Given Input Data is 745, 835, 984, 623

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 835 is 5 x 167

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 623 is 7 x 89

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(745, 835) = 124415

GCD(745, 835) = ( 745 x 835 ) / 124415

GCD(745, 835) = 622075 / 124415

GCD(745, 835) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 984

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

LCM(5, 984) = 4920

GCD(5, 984) = ( 5 x 984 ) / 4920

GCD(5, 984) = 4920 / 4920

GCD(5, 984) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

GCD of 745, 835, 984, 623 is 1

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1. What is the GCD of 745, 835, 984, 623?

GCD of 745, 835, 984, 623 is 1

2. Where do I get the detailed procedure to find GCD of 745, 835, 984, 623?

You can find a detailed procedure to find GCD of 745, 835, 984, 623 on our page.

3. How to find GCD of 745, 835, 984, 623 on a calculator?

You can find the GCD of 745, 835, 984, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.