GCD of 274, 945, 58, 188 Calculator

Given Input numbers are 274, 945, 58, 188

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 274, 945, 58, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 945, 58, 188 is 1.

Therefore, GCD of numbers 274, 945, 58, 188 is 1

Given Input Data is 274, 945, 58, 188

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 58 is 2 x 29

Prime Factorization of 188 is 2 x 2 x 47

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, 945) = 258930

GCD(274, 945) = ( 274 x 945 ) / 258930

GCD(274, 945) = 258930 / 258930

GCD(274, 945) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 274, 945, 58, 188 is 1

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• GCD of 992, 981, 27, 555
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1. What is the GCD of 274, 945, 58, 188?

GCD of 274, 945, 58, 188 is 1

2. Where do I get the detailed procedure to find GCD of 274, 945, 58, 188?

You can find a detailed procedure to find GCD of 274, 945, 58, 188 on our page.

3. How to find GCD of 274, 945, 58, 188 on a calculator?

You can find the GCD of 274, 945, 58, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.