GCD of 680, 984, 45, 268 Calculator

Given Input numbers are 680, 984, 45, 268

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 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 680, 984, 45, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 984, 45, 268 is 1.

Therefore, GCD of numbers 680, 984, 45, 268 is 1

Given Input Data is 680, 984, 45, 268

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 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 268 is 2 x 2 x 67

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, 984) = 83640

GCD(680, 984) = ( 680 x 984 ) / 83640

GCD(680, 984) = 669120 / 83640

GCD(680, 984) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 45

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

LCM(8, 45) = 360

GCD(8, 45) = ( 8 x 45 ) / 360

GCD(8, 45) = 360 / 360

GCD(8, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 680, 984, 45, 268 is 1

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1. What is the GCD of 680, 984, 45, 268?

GCD of 680, 984, 45, 268 is 1

2. Where do I get the detailed procedure to find GCD of 680, 984, 45, 268?

You can find a detailed procedure to find GCD of 680, 984, 45, 268 on our page.

3. How to find GCD of 680, 984, 45, 268 on a calculator?

You can find the GCD of 680, 984, 45, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.