GCD of 680, 899, 24, 274 Calculator

Given Input numbers are 680, 899, 24, 274

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 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 680, 899, 24, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 899, 24, 274 is 1.

Therefore, GCD of numbers 680, 899, 24, 274 is 1

Given Input Data is 680, 899, 24, 274

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 899 is 29 x 31

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 274 is 2 x 137

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, 899) = 611320

GCD(680, 899) = ( 680 x 899 ) / 611320

GCD(680, 899) = 611320 / 611320

GCD(680, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 24

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

LCM(1, 24) = 24

GCD(1, 24) = ( 1 x 24 ) / 24

GCD(1, 24) = 24 / 24

GCD(1, 24) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 680, 899, 24, 274 is 1

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• GCD of 394, 221, 22, 637
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1. What is the GCD of 680, 899, 24, 274?

GCD of 680, 899, 24, 274 is 1

2. Where do I get the detailed procedure to find GCD of 680, 899, 24, 274?

You can find a detailed procedure to find GCD of 680, 899, 24, 274 on our page.

3. How to find GCD of 680, 899, 24, 274 on a calculator?

You can find the GCD of 680, 899, 24, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.