GCD of 892, 152, 84, 723 Calculator

Given Input numbers are 892, 152, 84, 723

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 892, 152, 84, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 152, 84, 723 is 1.

Therefore, GCD of numbers 892, 152, 84, 723 is 1

Given Input Data is 892, 152, 84, 723

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 723 is 3 x 241

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(892, 152) = 33896

GCD(892, 152) = ( 892 x 152 ) / 33896

GCD(892, 152) = 135584 / 33896

GCD(892, 152) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 84

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

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

GCD(4, 84) = 336 / 84

GCD(4, 84) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 723

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

LCM(4, 723) = 2892

GCD(4, 723) = ( 4 x 723 ) / 2892

GCD(4, 723) = 2892 / 2892

GCD(4, 723) = 1

GCD of 892, 152, 84, 723 is 1

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1. What is the GCD of 892, 152, 84, 723?

GCD of 892, 152, 84, 723 is 1

2. Where do I get the detailed procedure to find GCD of 892, 152, 84, 723?

You can find a detailed procedure to find GCD of 892, 152, 84, 723 on our page.

3. How to find GCD of 892, 152, 84, 723 on a calculator?

You can find the GCD of 892, 152, 84, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.