GCD of 859, 253, 67, 516 Calculator

Given Input numbers are 859, 253, 67, 516

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

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 859, 253, 67, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 859, 253, 67, 516 is 1.

Therefore, GCD of numbers 859, 253, 67, 516 is 1

Given Input Data is 859, 253, 67, 516

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

Prime Factorization of 859 is 859

Prime Factorization of 253 is 11 x 23

Prime Factorization of 67 is 67

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(859, 253) = 217327

GCD(859, 253) = ( 859 x 253 ) / 217327

GCD(859, 253) = 217327 / 217327

GCD(859, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 859, 253, 67, 516 is 1

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1. What is the GCD of 859, 253, 67, 516?

GCD of 859, 253, 67, 516 is 1

2. Where do I get the detailed procedure to find GCD of 859, 253, 67, 516?

You can find a detailed procedure to find GCD of 859, 253, 67, 516 on our page.

3. How to find GCD of 859, 253, 67, 516 on a calculator?

You can find the GCD of 859, 253, 67, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.