GCD of 902, 341, 438, 537 Calculator

Given Input numbers are 902, 341, 438, 537

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

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 902, 341, 438, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 341, 438, 537 is 1.

Therefore, GCD of numbers 902, 341, 438, 537 is 1

Given Input Data is 902, 341, 438, 537

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 341 is 11 x 31

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 537 is 3 x 179

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(902, 341) = 27962

GCD(902, 341) = ( 902 x 341 ) / 27962

GCD(902, 341) = 307582 / 27962

GCD(902, 341) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 438

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

LCM(11, 438) = 4818

GCD(11, 438) = ( 11 x 438 ) / 4818

GCD(11, 438) = 4818 / 4818

GCD(11, 438) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 902, 341, 438, 537 is 1

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1. What is the GCD of 902, 341, 438, 537?

GCD of 902, 341, 438, 537 is 1

2. Where do I get the detailed procedure to find GCD of 902, 341, 438, 537?

You can find a detailed procedure to find GCD of 902, 341, 438, 537 on our page.

3. How to find GCD of 902, 341, 438, 537 on a calculator?

You can find the GCD of 902, 341, 438, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.