GCD of 623, 413, 889, 734 Calculator

Given Input numbers are 623, 413, 889, 734

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

Divisors of 623

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

1, 7, 89, 623

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 623, 413, 889, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 623, 413, 889, 734 is 1.

Therefore, GCD of numbers 623, 413, 889, 734 is 1

Given Input Data is 623, 413, 889, 734

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

Prime Factorization of 623 is 7 x 89

Prime Factorization of 413 is 7 x 59

Prime Factorization of 889 is 7 x 127

Prime Factorization of 734 is 2 x 367

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(623, 413) = 36757

GCD(623, 413) = ( 623 x 413 ) / 36757

GCD(623, 413) = 257299 / 36757

GCD(623, 413) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 889

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

LCM(7, 889) = 889

GCD(7, 889) = ( 7 x 889 ) / 889

GCD(7, 889) = 6223 / 889

GCD(7, 889) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 734

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

LCM(7, 734) = 5138

GCD(7, 734) = ( 7 x 734 ) / 5138

GCD(7, 734) = 5138 / 5138

GCD(7, 734) = 1

GCD of 623, 413, 889, 734 is 1

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1. What is the GCD of 623, 413, 889, 734?

GCD of 623, 413, 889, 734 is 1

2. Where do I get the detailed procedure to find GCD of 623, 413, 889, 734?

You can find a detailed procedure to find GCD of 623, 413, 889, 734 on our page.

3. How to find GCD of 623, 413, 889, 734 on a calculator?

You can find the GCD of 623, 413, 889, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.