GCD of 712, 756, 403, 478 Calculator

Given Input numbers are 712, 756, 403, 478

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 712, 756, 403, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 756, 403, 478 is 1.

Therefore, GCD of numbers 712, 756, 403, 478 is 1

Given Input Data is 712, 756, 403, 478

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

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

Prime Factorization of 403 is 13 x 31

Prime Factorization of 478 is 2 x 239

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(712, 756) = 134568

GCD(712, 756) = ( 712 x 756 ) / 134568

GCD(712, 756) = 538272 / 134568

GCD(712, 756) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 403

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

LCM(4, 403) = 1612

GCD(4, 403) = ( 4 x 403 ) / 1612

GCD(4, 403) = 1612 / 1612

GCD(4, 403) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 712, 756, 403, 478 is 1

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• GCD of 766, 832, 897, 266
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1. What is the GCD of 712, 756, 403, 478?

GCD of 712, 756, 403, 478 is 1

2. Where do I get the detailed procedure to find GCD of 712, 756, 403, 478?

You can find a detailed procedure to find GCD of 712, 756, 403, 478 on our page.

3. How to find GCD of 712, 756, 403, 478 on a calculator?

You can find the GCD of 712, 756, 403, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.