GCD of 680, 753, 85, 827 Calculator

Given Input numbers are 680, 753, 85, 827

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 680, 753, 85, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 753, 85, 827 is 1.

Therefore, GCD of numbers 680, 753, 85, 827 is 1

Given Input Data is 680, 753, 85, 827

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 753 is 3 x 251

Prime Factorization of 85 is 5 x 17

Prime Factorization of 827 is 827

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, 753) = 512040

GCD(680, 753) = ( 680 x 753 ) / 512040

GCD(680, 753) = 512040 / 512040

GCD(680, 753) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 680, 753, 85, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 433, 63, 942
• GCD of 646, 537, 94, 618
• GCD of 574, 665, 39, 259
• GCD of 128, 446, 14, 970
• GCD of 759, 789, 81, 721

1. What is the GCD of 680, 753, 85, 827?

GCD of 680, 753, 85, 827 is 1

2. Where do I get the detailed procedure to find GCD of 680, 753, 85, 827?

You can find a detailed procedure to find GCD of 680, 753, 85, 827 on our page.

3. How to find GCD of 680, 753, 85, 827 on a calculator?

You can find the GCD of 680, 753, 85, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.