GCD of 756, 439, 725, 692 Calculator

Given Input numbers are 756, 439, 725, 692

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 439

List of positive integer divisors of 439 that divides 439 without a remainder.

1, 439

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 692

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

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 756, 439, 725, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 439, 725, 692 is 1.

Therefore, GCD of numbers 756, 439, 725, 692 is 1

Given Input Data is 756, 439, 725, 692

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 439 is 439

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 692 is 2 x 2 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(756, 439) = 331884

GCD(756, 439) = ( 756 x 439 ) / 331884

GCD(756, 439) = 331884 / 331884

GCD(756, 439) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 725

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

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

GCD(1, 725) = 725 / 725

GCD(1, 725) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 756, 439, 725, 692 is 1

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1. What is the GCD of 756, 439, 725, 692?

GCD of 756, 439, 725, 692 is 1

2. Where do I get the detailed procedure to find GCD of 756, 439, 725, 692?

You can find a detailed procedure to find GCD of 756, 439, 725, 692 on our page.

3. How to find GCD of 756, 439, 725, 692 on a calculator?

You can find the GCD of 756, 439, 725, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.