GCD of 305, 942, 397, 360 Calculator

Given Input numbers are 305, 942, 397, 360

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 305, 942, 397, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 942, 397, 360 is 1.

Therefore, GCD of numbers 305, 942, 397, 360 is 1

Given Input Data is 305, 942, 397, 360

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 397 is 397

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(305, 942) = 287310

GCD(305, 942) = ( 305 x 942 ) / 287310

GCD(305, 942) = 287310 / 287310

GCD(305, 942) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 397

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

LCM(1, 397) = 397

GCD(1, 397) = ( 1 x 397 ) / 397

GCD(1, 397) = 397 / 397

GCD(1, 397) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 305, 942, 397, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 536, 294, 343
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• GCD of 302, 347, 519, 715
• GCD of 327, 692, 556, 854
• GCD of 525, 381, 698, 563

1. What is the GCD of 305, 942, 397, 360?

GCD of 305, 942, 397, 360 is 1

2. Where do I get the detailed procedure to find GCD of 305, 942, 397, 360?

You can find a detailed procedure to find GCD of 305, 942, 397, 360 on our page.

3. How to find GCD of 305, 942, 397, 360 on a calculator?

You can find the GCD of 305, 942, 397, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.