GCD of 407, 358, 174, 942 Calculator

Given Input numbers are 407, 358, 174, 942

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

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 407, 358, 174, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 358, 174, 942 is 1.

Therefore, GCD of numbers 407, 358, 174, 942 is 1

Given Input Data is 407, 358, 174, 942

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 358 is 2 x 179

Prime Factorization of 174 is 2 x 3 x 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(407, 358) = 145706

GCD(407, 358) = ( 407 x 358 ) / 145706

GCD(407, 358) = 145706 / 145706

GCD(407, 358) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 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 407, 358, 174, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 114, 350, 182
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• GCD of 104, 560, 762, 972
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• GCD of 183, 501, 490, 674

1. What is the GCD of 407, 358, 174, 942?

GCD of 407, 358, 174, 942 is 1

2. Where do I get the detailed procedure to find GCD of 407, 358, 174, 942?

You can find a detailed procedure to find GCD of 407, 358, 174, 942 on our page.

3. How to find GCD of 407, 358, 174, 942 on a calculator?

You can find the GCD of 407, 358, 174, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.