GCD of 749, 566, 543, 690 Calculator

Given Input numbers are 749, 566, 543, 690

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 749, 566, 543, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 566, 543, 690 is 1.

Therefore, GCD of numbers 749, 566, 543, 690 is 1

Given Input Data is 749, 566, 543, 690

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 566 is 2 x 283

Prime Factorization of 543 is 3 x 181

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(749, 566) = 423934

GCD(749, 566) = ( 749 x 566 ) / 423934

GCD(749, 566) = 423934 / 423934

GCD(749, 566) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 543

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

LCM(1, 543) = 543

GCD(1, 543) = ( 1 x 543 ) / 543

GCD(1, 543) = 543 / 543

GCD(1, 543) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 749, 566, 543, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 833, 617, 193
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• GCD of 267, 369, 427, 303

1. What is the GCD of 749, 566, 543, 690?

GCD of 749, 566, 543, 690 is 1

2. Where do I get the detailed procedure to find GCD of 749, 566, 543, 690?

You can find a detailed procedure to find GCD of 749, 566, 543, 690 on our page.

3. How to find GCD of 749, 566, 543, 690 on a calculator?

You can find the GCD of 749, 566, 543, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.