GCD of 274, 245, 162, 457 Calculator

Given Input numbers are 274, 245, 162, 457

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 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 274, 245, 162, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 245, 162, 457 is 1.

Therefore, GCD of numbers 274, 245, 162, 457 is 1

Given Input Data is 274, 245, 162, 457

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 457 is 457

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, 245) = 67130

GCD(274, 245) = ( 274 x 245 ) / 67130

GCD(274, 245) = 67130 / 67130

GCD(274, 245) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 274, 245, 162, 457 is 1

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1. What is the GCD of 274, 245, 162, 457?

GCD of 274, 245, 162, 457 is 1

2. Where do I get the detailed procedure to find GCD of 274, 245, 162, 457?

You can find a detailed procedure to find GCD of 274, 245, 162, 457 on our page.

3. How to find GCD of 274, 245, 162, 457 on a calculator?

You can find the GCD of 274, 245, 162, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.