GCD of 692, 749, 709, 936 Calculator

Given Input numbers are 692, 749, 709, 936

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 692, 749, 709, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 749, 709, 936 is 1.

Therefore, GCD of numbers 692, 749, 709, 936 is 1

Given Input Data is 692, 749, 709, 936

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 749 is 7 x 107

Prime Factorization of 709 is 709

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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(692, 749) = 518308

GCD(692, 749) = ( 692 x 749 ) / 518308

GCD(692, 749) = 518308 / 518308

GCD(692, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 936

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

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

GCD(1, 936) = 936 / 936

GCD(1, 936) = 1

GCD of 692, 749, 709, 936 is 1

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1. What is the GCD of 692, 749, 709, 936?

GCD of 692, 749, 709, 936 is 1

2. Where do I get the detailed procedure to find GCD of 692, 749, 709, 936?

You can find a detailed procedure to find GCD of 692, 749, 709, 936 on our page.

3. How to find GCD of 692, 749, 709, 936 on a calculator?

You can find the GCD of 692, 749, 709, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.