GCD of 756, 722, 83, 186 Calculator

Given Input numbers are 756, 722, 83, 186

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 756, 722, 83, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 722, 83, 186 is 1.

Therefore, GCD of numbers 756, 722, 83, 186 is 1

Given Input Data is 756, 722, 83, 186

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 83 is 83

Prime Factorization of 186 is 2 x 3 x 31

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(756, 722) = 272916

GCD(756, 722) = ( 756 x 722 ) / 272916

GCD(756, 722) = 545832 / 272916

GCD(756, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 186

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

LCM(1, 186) = 186

GCD(1, 186) = ( 1 x 186 ) / 186

GCD(1, 186) = 186 / 186

GCD(1, 186) = 1

GCD of 756, 722, 83, 186 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 570, 55, 156
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• GCD of 585, 115, 13, 230
• GCD of 983, 759, 12, 259
• GCD of 311, 762, 20, 535

1. What is the GCD of 756, 722, 83, 186?

GCD of 756, 722, 83, 186 is 1

2. Where do I get the detailed procedure to find GCD of 756, 722, 83, 186?

You can find a detailed procedure to find GCD of 756, 722, 83, 186 on our page.

3. How to find GCD of 756, 722, 83, 186 on a calculator?

You can find the GCD of 756, 722, 83, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.