GCD of 857, 611, 342, 513 Calculator

Given Input numbers are 857, 611, 342, 513

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

Divisors of 857

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

1, 857

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 857, 611, 342, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 611, 342, 513 is 1.

Therefore, GCD of numbers 857, 611, 342, 513 is 1

Given Input Data is 857, 611, 342, 513

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

Prime Factorization of 857 is 857

Prime Factorization of 611 is 13 x 47

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(857, 611) = 523627

GCD(857, 611) = ( 857 x 611 ) / 523627

GCD(857, 611) = 523627 / 523627

GCD(857, 611) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 857, 611, 342, 513 is 1

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1. What is the GCD of 857, 611, 342, 513?

GCD of 857, 611, 342, 513 is 1

2. Where do I get the detailed procedure to find GCD of 857, 611, 342, 513?

You can find a detailed procedure to find GCD of 857, 611, 342, 513 on our page.

3. How to find GCD of 857, 611, 342, 513 on a calculator?

You can find the GCD of 857, 611, 342, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.