GCD of 678, 857, 289, 852 Calculator

Given Input numbers are 678, 857, 289, 852

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 678, 857, 289, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 857, 289, 852 is 1.

Therefore, GCD of numbers 678, 857, 289, 852 is 1

Given Input Data is 678, 857, 289, 852

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 857 is 857

Prime Factorization of 289 is 17 x 17

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(678, 857) = 581046

GCD(678, 857) = ( 678 x 857 ) / 581046

GCD(678, 857) = 581046 / 581046

GCD(678, 857) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 678, 857, 289, 852 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 534, 768, 527
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• GCD of 752, 719, 722, 535

1. What is the GCD of 678, 857, 289, 852?

GCD of 678, 857, 289, 852 is 1

2. Where do I get the detailed procedure to find GCD of 678, 857, 289, 852?

You can find a detailed procedure to find GCD of 678, 857, 289, 852 on our page.

3. How to find GCD of 678, 857, 289, 852 on a calculator?

You can find the GCD of 678, 857, 289, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.