GCD of 334, 742, 821, 619 Calculator

Given Input numbers are 334, 742, 821, 619

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

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Greatest Common Divisior

We found the divisors of 334, 742, 821, 619 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 334, 742, 821, 619 is 1.

Therefore, GCD of numbers 334, 742, 821, 619 is 1

Given Input Data is 334, 742, 821, 619

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

Prime Factorization of 334 is 2 x 167

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 821 is 821

Prime Factorization of 619 is 619

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(334, 742) = 123914

GCD(334, 742) = ( 334 x 742 ) / 123914

GCD(334, 742) = 247828 / 123914

GCD(334, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 821

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

LCM(2, 821) = 1642

GCD(2, 821) = ( 2 x 821 ) / 1642

GCD(2, 821) = 1642 / 1642

GCD(2, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 619

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

LCM(1, 619) = 619

GCD(1, 619) = ( 1 x 619 ) / 619

GCD(1, 619) = 619 / 619

GCD(1, 619) = 1

GCD of 334, 742, 821, 619 is 1

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1. What is the GCD of 334, 742, 821, 619?

GCD of 334, 742, 821, 619 is 1

2. Where do I get the detailed procedure to find GCD of 334, 742, 821, 619?

You can find a detailed procedure to find GCD of 334, 742, 821, 619 on our page.

3. How to find GCD of 334, 742, 821, 619 on a calculator?

You can find the GCD of 334, 742, 821, 619 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.