GCD of 172, 382, 62, 942 Calculator

Given Input numbers are 172, 382, 62, 942

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

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

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 172, 382, 62, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 382, 62, 942 is 2.

Therefore, GCD of numbers 172, 382, 62, 942 is 2

Given Input Data is 172, 382, 62, 942

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 382 is 2 x 191

Prime Factorization of 62 is 2 x 31

Prime Factorization of 942 is 2 x 3 x 157

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(172, 382) = 32852

GCD(172, 382) = ( 172 x 382 ) / 32852

GCD(172, 382) = 65704 / 32852

GCD(172, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 62

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

LCM(2, 62) = 62

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

GCD(2, 62) = 124 / 62

GCD(2, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 942

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

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

GCD(2, 942) = 1884 / 942

GCD(2, 942) = 2

GCD of 172, 382, 62, 942 is 2

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1. What is the GCD of 172, 382, 62, 942?

GCD of 172, 382, 62, 942 is 2

2. Where do I get the detailed procedure to find GCD of 172, 382, 62, 942?

You can find a detailed procedure to find GCD of 172, 382, 62, 942 on our page.

3. How to find GCD of 172, 382, 62, 942 on a calculator?

You can find the GCD of 172, 382, 62, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.