GCD of 707, 774, 15, 538 Calculator

Given Input numbers are 707, 774, 15, 538

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 707, 774, 15, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 774, 15, 538 is 1.

Therefore, GCD of numbers 707, 774, 15, 538 is 1

Given Input Data is 707, 774, 15, 538

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 15 is 3 x 5

Prime Factorization of 538 is 2 x 269

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(707, 774) = 547218

GCD(707, 774) = ( 707 x 774 ) / 547218

GCD(707, 774) = 547218 / 547218

GCD(707, 774) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 707, 774, 15, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 453, 56, 170
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• GCD of 455, 508, 32, 255
• GCD of 574, 350, 50, 136
• GCD of 705, 168, 16, 704

1. What is the GCD of 707, 774, 15, 538?

GCD of 707, 774, 15, 538 is 1

2. Where do I get the detailed procedure to find GCD of 707, 774, 15, 538?

You can find a detailed procedure to find GCD of 707, 774, 15, 538 on our page.

3. How to find GCD of 707, 774, 15, 538 on a calculator?

You can find the GCD of 707, 774, 15, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.