GCD of 892, 370, 365, 253 Calculator

Given Input numbers are 892, 370, 365, 253

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 892, 370, 365, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 370, 365, 253 is 1.

Therefore, GCD of numbers 892, 370, 365, 253 is 1

Given Input Data is 892, 370, 365, 253

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 370 is 2 x 5 x 37

Prime Factorization of 365 is 5 x 73

Prime Factorization of 253 is 11 x 23

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, 370) = 165020

GCD(892, 370) = ( 892 x 370 ) / 165020

GCD(892, 370) = 330040 / 165020

GCD(892, 370) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 365

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

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

GCD(2, 365) = 730 / 730

GCD(2, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 892, 370, 365, 253 is 1

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1. What is the GCD of 892, 370, 365, 253?

GCD of 892, 370, 365, 253 is 1

2. Where do I get the detailed procedure to find GCD of 892, 370, 365, 253?

You can find a detailed procedure to find GCD of 892, 370, 365, 253 on our page.

3. How to find GCD of 892, 370, 365, 253 on a calculator?

You can find the GCD of 892, 370, 365, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.