GCD of 926, 694, 360, 983 Calculator

Given Input numbers are 926, 694, 360, 983

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

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 926, 694, 360, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 926, 694, 360, 983 is 1.

Therefore, GCD of numbers 926, 694, 360, 983 is 1

Given Input Data is 926, 694, 360, 983

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

Prime Factorization of 926 is 2 x 463

Prime Factorization of 694 is 2 x 347

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

Prime Factorization of 983 is 983

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(926, 694) = 321322

GCD(926, 694) = ( 926 x 694 ) / 321322

GCD(926, 694) = 642644 / 321322

GCD(926, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 983

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

LCM(2, 983) = 1966

GCD(2, 983) = ( 2 x 983 ) / 1966

GCD(2, 983) = 1966 / 1966

GCD(2, 983) = 1

GCD of 926, 694, 360, 983 is 1

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1. What is the GCD of 926, 694, 360, 983?

GCD of 926, 694, 360, 983 is 1

2. Where do I get the detailed procedure to find GCD of 926, 694, 360, 983?

You can find a detailed procedure to find GCD of 926, 694, 360, 983 on our page.

3. How to find GCD of 926, 694, 360, 983 on a calculator?

You can find the GCD of 926, 694, 360, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.