GCD of 295, 368, 90, 580 Calculator

Given Input numbers are 295, 368, 90, 580

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 295, 368, 90, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 368, 90, 580 is 1.

Therefore, GCD of numbers 295, 368, 90, 580 is 1

Given Input Data is 295, 368, 90, 580

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(295, 368) = 108560

GCD(295, 368) = ( 295 x 368 ) / 108560

GCD(295, 368) = 108560 / 108560

GCD(295, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 295, 368, 90, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 682, 38, 460
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• GCD of 923, 414, 46, 126
• GCD of 394, 182, 90, 973

1. What is the GCD of 295, 368, 90, 580?

GCD of 295, 368, 90, 580 is 1

2. Where do I get the detailed procedure to find GCD of 295, 368, 90, 580?

You can find a detailed procedure to find GCD of 295, 368, 90, 580 on our page.

3. How to find GCD of 295, 368, 90, 580 on a calculator?

You can find the GCD of 295, 368, 90, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.