GCD of 285, 732, 892, 402 Calculator

Given Input numbers are 285, 732, 892, 402

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 892

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

1, 2, 4, 223, 446, 892

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 285, 732, 892, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 732, 892, 402 is 1.

Therefore, GCD of numbers 285, 732, 892, 402 is 1

Given Input Data is 285, 732, 892, 402

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 402 is 2 x 3 x 67

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(285, 732) = 69540

GCD(285, 732) = ( 285 x 732 ) / 69540

GCD(285, 732) = 208620 / 69540

GCD(285, 732) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 892

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

LCM(3, 892) = 2676

GCD(3, 892) = ( 3 x 892 ) / 2676

GCD(3, 892) = 2676 / 2676

GCD(3, 892) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 285, 732, 892, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 751, 940, 442
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• GCD of 405, 648, 352, 963

1. What is the GCD of 285, 732, 892, 402?

GCD of 285, 732, 892, 402 is 1

2. Where do I get the detailed procedure to find GCD of 285, 732, 892, 402?

You can find a detailed procedure to find GCD of 285, 732, 892, 402 on our page.

3. How to find GCD of 285, 732, 892, 402 on a calculator?

You can find the GCD of 285, 732, 892, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.