GCD of 697, 400, 543, 758 Calculator

Given Input numbers are 697, 400, 543, 758

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 543

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

1, 3, 181, 543

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 697, 400, 543, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 400, 543, 758 is 1.

Therefore, GCD of numbers 697, 400, 543, 758 is 1

Given Input Data is 697, 400, 543, 758

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 543 is 3 x 181

Prime Factorization of 758 is 2 x 379

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(697, 400) = 278800

GCD(697, 400) = ( 697 x 400 ) / 278800

GCD(697, 400) = 278800 / 278800

GCD(697, 400) = 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 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 697, 400, 543, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 606, 932, 492
• GCD of 367, 249, 872, 664
• GCD of 386, 157, 630, 668
• GCD of 539, 565, 206, 778
• GCD of 285, 179, 409, 918

1. What is the GCD of 697, 400, 543, 758?

GCD of 697, 400, 543, 758 is 1

2. Where do I get the detailed procedure to find GCD of 697, 400, 543, 758?

You can find a detailed procedure to find GCD of 697, 400, 543, 758 on our page.

3. How to find GCD of 697, 400, 543, 758 on a calculator?

You can find the GCD of 697, 400, 543, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.