GCD of 680, 360, 785, 996 Calculator

Given Input numbers are 680, 360, 785, 996

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 680, 360, 785, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 360, 785, 996 is 1.

Therefore, GCD of numbers 680, 360, 785, 996 is 1

Given Input Data is 680, 360, 785, 996

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

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

Prime Factorization of 785 is 5 x 157

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(680, 360) = 6120

GCD(680, 360) = ( 680 x 360 ) / 6120

GCD(680, 360) = 244800 / 6120

GCD(680, 360) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 785

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

LCM(40, 785) = 6280

GCD(40, 785) = ( 40 x 785 ) / 6280

GCD(40, 785) = 31400 / 6280

GCD(40, 785) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 996

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

LCM(5, 996) = 4980

GCD(5, 996) = ( 5 x 996 ) / 4980

GCD(5, 996) = 4980 / 4980

GCD(5, 996) = 1

GCD of 680, 360, 785, 996 is 1

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1. What is the GCD of 680, 360, 785, 996?

GCD of 680, 360, 785, 996 is 1

2. Where do I get the detailed procedure to find GCD of 680, 360, 785, 996?

You can find a detailed procedure to find GCD of 680, 360, 785, 996 on our page.

3. How to find GCD of 680, 360, 785, 996 on a calculator?

You can find the GCD of 680, 360, 785, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.