GCD of 368, 510, 74, 859 Calculator

Given Input numbers are 368, 510, 74, 859

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

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 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Greatest Common Divisior

We found the divisors of 368, 510, 74, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 510, 74, 859 is 1.

Therefore, GCD of numbers 368, 510, 74, 859 is 1

Given Input Data is 368, 510, 74, 859

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

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 74 is 2 x 37

Prime Factorization of 859 is 859

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(368, 510) = 93840

GCD(368, 510) = ( 368 x 510 ) / 93840

GCD(368, 510) = 187680 / 93840

GCD(368, 510) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 859

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

LCM(2, 859) = 1718

GCD(2, 859) = ( 2 x 859 ) / 1718

GCD(2, 859) = 1718 / 1718

GCD(2, 859) = 1

GCD of 368, 510, 74, 859 is 1

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• GCD of 917, 137, 91, 403
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1. What is the GCD of 368, 510, 74, 859?

GCD of 368, 510, 74, 859 is 1

2. Where do I get the detailed procedure to find GCD of 368, 510, 74, 859?

You can find a detailed procedure to find GCD of 368, 510, 74, 859 on our page.

3. How to find GCD of 368, 510, 74, 859 on a calculator?

You can find the GCD of 368, 510, 74, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.