GCD of 702, 537, 879, 905 Calculator

Given Input numbers are 702, 537, 879, 905

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 537

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

1, 3, 179, 537

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 702, 537, 879, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 537, 879, 905 is 1.

Therefore, GCD of numbers 702, 537, 879, 905 is 1

Given Input Data is 702, 537, 879, 905

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 537 is 3 x 179

Prime Factorization of 879 is 3 x 293

Prime Factorization of 905 is 5 x 181

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(702, 537) = 125658

GCD(702, 537) = ( 702 x 537 ) / 125658

GCD(702, 537) = 376974 / 125658

GCD(702, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 879

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

LCM(3, 879) = 879

GCD(3, 879) = ( 3 x 879 ) / 879

GCD(3, 879) = 2637 / 879

GCD(3, 879) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 905

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

LCM(3, 905) = 2715

GCD(3, 905) = ( 3 x 905 ) / 2715

GCD(3, 905) = 2715 / 2715

GCD(3, 905) = 1

GCD of 702, 537, 879, 905 is 1

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1. What is the GCD of 702, 537, 879, 905?

GCD of 702, 537, 879, 905 is 1

2. Where do I get the detailed procedure to find GCD of 702, 537, 879, 905?

You can find a detailed procedure to find GCD of 702, 537, 879, 905 on our page.

3. How to find GCD of 702, 537, 879, 905 on a calculator?

You can find the GCD of 702, 537, 879, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.