GCD of 475, 745, 29, 942 Calculator

Given Input numbers are 475, 745, 29, 942

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

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 475, 745, 29, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 745, 29, 942 is 1.

Therefore, GCD of numbers 475, 745, 29, 942 is 1

Given Input Data is 475, 745, 29, 942

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 745 is 5 x 149

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(475, 745) = 70775

GCD(475, 745) = ( 475 x 745 ) / 70775

GCD(475, 745) = 353875 / 70775

GCD(475, 745) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 29

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

LCM(5, 29) = 145

GCD(5, 29) = ( 5 x 29 ) / 145

GCD(5, 29) = 145 / 145

GCD(5, 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 475, 745, 29, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 277, 709, 17, 974
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• GCD of 445, 700, 43, 177

1. What is the GCD of 475, 745, 29, 942?

GCD of 475, 745, 29, 942 is 1

2. Where do I get the detailed procedure to find GCD of 475, 745, 29, 942?

You can find a detailed procedure to find GCD of 475, 745, 29, 942 on our page.

3. How to find GCD of 475, 745, 29, 942 on a calculator?

You can find the GCD of 475, 745, 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.