GCD of 274, 458, 39, 315 Calculator

Given Input numbers are 274, 458, 39, 315

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 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 274, 458, 39, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 458, 39, 315 is 1.

Therefore, GCD of numbers 274, 458, 39, 315 is 1

Given Input Data is 274, 458, 39, 315

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 458 is 2 x 229

Prime Factorization of 39 is 3 x 13

Prime Factorization of 315 is 3 x 3 x 5 x 7

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, 458) = 62746

GCD(274, 458) = ( 274 x 458 ) / 62746

GCD(274, 458) = 125492 / 62746

GCD(274, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 274, 458, 39, 315 is 1

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• GCD of 495, 742, 44, 413
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1. What is the GCD of 274, 458, 39, 315?

GCD of 274, 458, 39, 315 is 1

2. Where do I get the detailed procedure to find GCD of 274, 458, 39, 315?

You can find a detailed procedure to find GCD of 274, 458, 39, 315 on our page.

3. How to find GCD of 274, 458, 39, 315 on a calculator?

You can find the GCD of 274, 458, 39, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.