GCD of 202, 886, 31, 942 Calculator

Given Input numbers are 202, 886, 31, 942

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 202, 886, 31, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 886, 31, 942 is 1.

Therefore, GCD of numbers 202, 886, 31, 942 is 1

Given Input Data is 202, 886, 31, 942

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 886 is 2 x 443

Prime Factorization of 31 is 31

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(202, 886) = 89486

GCD(202, 886) = ( 202 x 886 ) / 89486

GCD(202, 886) = 178972 / 89486

GCD(202, 886) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 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 202, 886, 31, 942 is 1

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1. What is the GCD of 202, 886, 31, 942?

GCD of 202, 886, 31, 942 is 1

2. Where do I get the detailed procedure to find GCD of 202, 886, 31, 942?

You can find a detailed procedure to find GCD of 202, 886, 31, 942 on our page.

3. How to find GCD of 202, 886, 31, 942 on a calculator?

You can find the GCD of 202, 886, 31, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.