GCD of 756, 849, 689, 203 Calculator

Given Input numbers are 756, 849, 689, 203

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 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 756, 849, 689, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 849, 689, 203 is 1.

Therefore, GCD of numbers 756, 849, 689, 203 is 1

Given Input Data is 756, 849, 689, 203

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 849 is 3 x 283

Prime Factorization of 689 is 13 x 53

Prime Factorization of 203 is 7 x 29

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, 849) = 213948

GCD(756, 849) = ( 756 x 849 ) / 213948

GCD(756, 849) = 641844 / 213948

GCD(756, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 689

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

LCM(3, 689) = 2067

GCD(3, 689) = ( 3 x 689 ) / 2067

GCD(3, 689) = 2067 / 2067

GCD(3, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 756, 849, 689, 203 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 785, 265, 303
• GCD of 700, 158, 397, 152
• GCD of 135, 578, 456, 834
• GCD of 284, 111, 694, 686
• GCD of 817, 775, 949, 832

1. What is the GCD of 756, 849, 689, 203?

GCD of 756, 849, 689, 203 is 1

2. Where do I get the detailed procedure to find GCD of 756, 849, 689, 203?

You can find a detailed procedure to find GCD of 756, 849, 689, 203 on our page.

3. How to find GCD of 756, 849, 689, 203 on a calculator?

You can find the GCD of 756, 849, 689, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.