GCD of 374, 868, 83, 360 Calculator

Given Input numbers are 374, 868, 83, 360

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

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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 374, 868, 83, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 374, 868, 83, 360 is 1.

Therefore, GCD of numbers 374, 868, 83, 360 is 1

Given Input Data is 374, 868, 83, 360

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 83 is 83

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(374, 868) = 162316

GCD(374, 868) = ( 374 x 868 ) / 162316

GCD(374, 868) = 324632 / 162316

GCD(374, 868) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 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 374, 868, 83, 360 is 1

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• GCD of 290, 442, 98, 102
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1. What is the GCD of 374, 868, 83, 360?

GCD of 374, 868, 83, 360 is 1

2. Where do I get the detailed procedure to find GCD of 374, 868, 83, 360?

You can find a detailed procedure to find GCD of 374, 868, 83, 360 on our page.

3. How to find GCD of 374, 868, 83, 360 on a calculator?

You can find the GCD of 374, 868, 83, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.