GCD of 992, 680, 605, 103 Calculator

Given Input numbers are 992, 680, 605, 103

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

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 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 992, 680, 605, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 680, 605, 103 is 1.

Therefore, GCD of numbers 992, 680, 605, 103 is 1

Given Input Data is 992, 680, 605, 103

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 103 is 103

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(992, 680) = 84320

GCD(992, 680) = ( 992 x 680 ) / 84320

GCD(992, 680) = 674560 / 84320

GCD(992, 680) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 605

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

LCM(8, 605) = 4840

GCD(8, 605) = ( 8 x 605 ) / 4840

GCD(8, 605) = 4840 / 4840

GCD(8, 605) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 1

GCD of 992, 680, 605, 103 is 1

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1. What is the GCD of 992, 680, 605, 103?

GCD of 992, 680, 605, 103 is 1

2. Where do I get the detailed procedure to find GCD of 992, 680, 605, 103?

You can find a detailed procedure to find GCD of 992, 680, 605, 103 on our page.

3. How to find GCD of 992, 680, 605, 103 on a calculator?

You can find the GCD of 992, 680, 605, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.