GCD of 711, 698, 83, 542 Calculator

Given Input numbers are 711, 698, 83, 542

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

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 83

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

1, 83

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 711, 698, 83, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 698, 83, 542 is 1.

Therefore, GCD of numbers 711, 698, 83, 542 is 1

Given Input Data is 711, 698, 83, 542

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

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 698 is 2 x 349

Prime Factorization of 83 is 83

Prime Factorization of 542 is 2 x 271

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(711, 698) = 496278

GCD(711, 698) = ( 711 x 698 ) / 496278

GCD(711, 698) = 496278 / 496278

GCD(711, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 711, 698, 83, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 305, 29, 679
• GCD of 653, 903, 31, 557
• GCD of 377, 661, 63, 948
• GCD of 564, 908, 86, 435
• GCD of 632, 504, 76, 271

1. What is the GCD of 711, 698, 83, 542?

GCD of 711, 698, 83, 542 is 1

2. Where do I get the detailed procedure to find GCD of 711, 698, 83, 542?

You can find a detailed procedure to find GCD of 711, 698, 83, 542 on our page.

3. How to find GCD of 711, 698, 83, 542 on a calculator?

You can find the GCD of 711, 698, 83, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.