GCD of 84, 722, 759, 842 Calculator

Given Input numbers are 84, 722, 759, 842

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 84, 722, 759, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 722, 759, 842 is 1.

Therefore, GCD of numbers 84, 722, 759, 842 is 1

Given Input Data is 84, 722, 759, 842

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 842 is 2 x 421

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(84, 722) = 30324

GCD(84, 722) = ( 84 x 722 ) / 30324

GCD(84, 722) = 60648 / 30324

GCD(84, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 759

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

LCM(2, 759) = 1518

GCD(2, 759) = ( 2 x 759 ) / 1518

GCD(2, 759) = 1518 / 1518

GCD(2, 759) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 84, 722, 759, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 984, 200, 782
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• GCD of 80, 850, 687, 533
• GCD of 58, 198, 882, 949

1. What is the GCD of 84, 722, 759, 842?

GCD of 84, 722, 759, 842 is 1

2. Where do I get the detailed procedure to find GCD of 84, 722, 759, 842?

You can find a detailed procedure to find GCD of 84, 722, 759, 842 on our page.

3. How to find GCD of 84, 722, 759, 842 on a calculator?

You can find the GCD of 84, 722, 759, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.