GCD of 537, 285, 86, 942 Calculator

Given Input numbers are 537, 285, 86, 942

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

Divisors of 537

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

1, 3, 179, 537

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 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 537, 285, 86, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 285, 86, 942 is 1.

Therefore, GCD of numbers 537, 285, 86, 942 is 1

Given Input Data is 537, 285, 86, 942

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 86 is 2 x 43

Prime Factorization of 942 is 2 x 3 x 157

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(537, 285) = 51015

GCD(537, 285) = ( 537 x 285 ) / 51015

GCD(537, 285) = 153045 / 51015

GCD(537, 285) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

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

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 537, 285, 86, 942 is 1

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1. What is the GCD of 537, 285, 86, 942?

GCD of 537, 285, 86, 942 is 1

2. Where do I get the detailed procedure to find GCD of 537, 285, 86, 942?

You can find a detailed procedure to find GCD of 537, 285, 86, 942 on our page.

3. How to find GCD of 537, 285, 86, 942 on a calculator?

You can find the GCD of 537, 285, 86, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.