GCD of 376, 298, 613, 821 Calculator

Given Input numbers are 376, 298, 613, 821

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Divisors of 821

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

1, 821

Greatest Common Divisior

We found the divisors of 376, 298, 613, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 298, 613, 821 is 1.

Therefore, GCD of numbers 376, 298, 613, 821 is 1

Given Input Data is 376, 298, 613, 821

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 298 is 2 x 149

Prime Factorization of 613 is 613

Prime Factorization of 821 is 821

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(376, 298) = 56024

GCD(376, 298) = ( 376 x 298 ) / 56024

GCD(376, 298) = 112048 / 56024

GCD(376, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 613

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

LCM(2, 613) = 1226

GCD(2, 613) = ( 2 x 613 ) / 1226

GCD(2, 613) = 1226 / 1226

GCD(2, 613) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 376, 298, 613, 821 is 1

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1. What is the GCD of 376, 298, 613, 821?

GCD of 376, 298, 613, 821 is 1

2. Where do I get the detailed procedure to find GCD of 376, 298, 613, 821?

You can find a detailed procedure to find GCD of 376, 298, 613, 821 on our page.

3. How to find GCD of 376, 298, 613, 821 on a calculator?

You can find the GCD of 376, 298, 613, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.