GCD of 274, 820, 93, 596 Calculator

Given Input numbers are 274, 820, 93, 596

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 274, 820, 93, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 820, 93, 596 is 1.

Therefore, GCD of numbers 274, 820, 93, 596 is 1

Given Input Data is 274, 820, 93, 596

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 93 is 3 x 31

Prime Factorization of 596 is 2 x 2 x 149

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(274, 820) = 112340

GCD(274, 820) = ( 274 x 820 ) / 112340

GCD(274, 820) = 224680 / 112340

GCD(274, 820) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 93

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

LCM(2, 93) = 186

GCD(2, 93) = ( 2 x 93 ) / 186

GCD(2, 93) = 186 / 186

GCD(2, 93) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 274, 820, 93, 596 is 1

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1. What is the GCD of 274, 820, 93, 596?

GCD of 274, 820, 93, 596 is 1

2. Where do I get the detailed procedure to find GCD of 274, 820, 93, 596?

You can find a detailed procedure to find GCD of 274, 820, 93, 596 on our page.

3. How to find GCD of 274, 820, 93, 596 on a calculator?

You can find the GCD of 274, 820, 93, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.