GCD of 537, 688, 836, 698 Calculator

Given Input numbers are 537, 688, 836, 698

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 698

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

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 537, 688, 836, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 688, 836, 698 is 1.

Therefore, GCD of numbers 537, 688, 836, 698 is 1

Given Input Data is 537, 688, 836, 698

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 698 is 2 x 349

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(537, 688) = 369456

GCD(537, 688) = ( 537 x 688 ) / 369456

GCD(537, 688) = 369456 / 369456

GCD(537, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 836

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

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

GCD(1, 836) = 836 / 836

GCD(1, 836) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 537, 688, 836, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 135, 414, 591
• GCD of 366, 532, 245, 677
• GCD of 514, 584, 670, 180
• GCD of 388, 681, 725, 989
• GCD of 158, 811, 188, 727

1. What is the GCD of 537, 688, 836, 698?

GCD of 537, 688, 836, 698 is 1

2. Where do I get the detailed procedure to find GCD of 537, 688, 836, 698?

You can find a detailed procedure to find GCD of 537, 688, 836, 698 on our page.

3. How to find GCD of 537, 688, 836, 698 on a calculator?

You can find the GCD of 537, 688, 836, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.