GCD of 708, 940, 611, 519 Calculator

Given Input numbers are 708, 940, 611, 519

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 708, 940, 611, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 940, 611, 519 is 1.

Therefore, GCD of numbers 708, 940, 611, 519 is 1

Given Input Data is 708, 940, 611, 519

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 611 is 13 x 47

Prime Factorization of 519 is 3 x 173

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(708, 940) = 166380

GCD(708, 940) = ( 708 x 940 ) / 166380

GCD(708, 940) = 665520 / 166380

GCD(708, 940) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 611

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

LCM(4, 611) = 2444

GCD(4, 611) = ( 4 x 611 ) / 2444

GCD(4, 611) = 2444 / 2444

GCD(4, 611) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 519

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

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

GCD(1, 519) = 519 / 519

GCD(1, 519) = 1

GCD of 708, 940, 611, 519 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 254, 535, 875
• GCD of 560, 182, 287, 603
• GCD of 914, 290, 611, 112
• GCD of 764, 981, 834, 302
• GCD of 169, 131, 707, 322

1. What is the GCD of 708, 940, 611, 519?

GCD of 708, 940, 611, 519 is 1

2. Where do I get the detailed procedure to find GCD of 708, 940, 611, 519?

You can find a detailed procedure to find GCD of 708, 940, 611, 519 on our page.

3. How to find GCD of 708, 940, 611, 519 on a calculator?

You can find the GCD of 708, 940, 611, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.