GCD of 680, 255, 754, 562 Calculator

Given Input numbers are 680, 255, 754, 562

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 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 680, 255, 754, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 255, 754, 562 is 1.

Therefore, GCD of numbers 680, 255, 754, 562 is 1

Given Input Data is 680, 255, 754, 562

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 255 is 3 x 5 x 17

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 562 is 2 x 281

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, 255) = 2040

GCD(680, 255) = ( 680 x 255 ) / 2040

GCD(680, 255) = 173400 / 2040

GCD(680, 255) = 85

Step2:

Here we consider the GCD from the above i.e. 85 as first number and the next as 754

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

LCM(85, 754) = 64090

GCD(85, 754) = ( 85 x 754 ) / 64090

GCD(85, 754) = 64090 / 64090

GCD(85, 754) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1

GCD of 680, 255, 754, 562 is 1

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• GCD of 477, 948, 734, 573
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1. What is the GCD of 680, 255, 754, 562?

GCD of 680, 255, 754, 562 is 1

2. Where do I get the detailed procedure to find GCD of 680, 255, 754, 562?

You can find a detailed procedure to find GCD of 680, 255, 754, 562 on our page.

3. How to find GCD of 680, 255, 754, 562 on a calculator?

You can find the GCD of 680, 255, 754, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.