GCD of 106, 375, 29, 942 Calculator

Given Input numbers are 106, 375, 29, 942

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

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 106, 375, 29, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 375, 29, 942 is 1.

Therefore, GCD of numbers 106, 375, 29, 942 is 1

Given Input Data is 106, 375, 29, 942

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 29 is 29

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(106, 375) = 39750

GCD(106, 375) = ( 106 x 375 ) / 39750

GCD(106, 375) = 39750 / 39750

GCD(106, 375) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 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 106, 375, 29, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 125, 96, 333
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• GCD of 288, 712, 72, 255
• GCD of 153, 431, 62, 468
• GCD of 301, 203, 35, 244

1. What is the GCD of 106, 375, 29, 942?

GCD of 106, 375, 29, 942 is 1

2. Where do I get the detailed procedure to find GCD of 106, 375, 29, 942?

You can find a detailed procedure to find GCD of 106, 375, 29, 942 on our page.

3. How to find GCD of 106, 375, 29, 942 on a calculator?

You can find the GCD of 106, 375, 29, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.