GCD of 943, 369, 30, 274 Calculator

Given Input numbers are 943, 369, 30, 274

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

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 274

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

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 943, 369, 30, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 943, 369, 30, 274 is 1.

Therefore, GCD of numbers 943, 369, 30, 274 is 1

Given Input Data is 943, 369, 30, 274

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

Prime Factorization of 943 is 23 x 41

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 274 is 2 x 137

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(943, 369) = 8487

GCD(943, 369) = ( 943 x 369 ) / 8487

GCD(943, 369) = 347967 / 8487

GCD(943, 369) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 30

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

LCM(41, 30) = 1230

GCD(41, 30) = ( 41 x 30 ) / 1230

GCD(41, 30) = 1230 / 1230

GCD(41, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 943, 369, 30, 274 is 1

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• GCD of 858, 404, 36, 243
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1. What is the GCD of 943, 369, 30, 274?

GCD of 943, 369, 30, 274 is 1

2. Where do I get the detailed procedure to find GCD of 943, 369, 30, 274?

You can find a detailed procedure to find GCD of 943, 369, 30, 274 on our page.

3. How to find GCD of 943, 369, 30, 274 on a calculator?

You can find the GCD of 943, 369, 30, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.