GCD of 407, 374, 430, 142 Calculator

Given Input numbers are 407, 374, 430, 142

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 407, 374, 430, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 374, 430, 142 is 1.

Therefore, GCD of numbers 407, 374, 430, 142 is 1

Given Input Data is 407, 374, 430, 142

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 142 is 2 x 71

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, 374) = 13838

GCD(407, 374) = ( 407 x 374 ) / 13838

GCD(407, 374) = 152218 / 13838

GCD(407, 374) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 430

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

LCM(11, 430) = 4730

GCD(11, 430) = ( 11 x 430 ) / 4730

GCD(11, 430) = 4730 / 4730

GCD(11, 430) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 407, 374, 430, 142 is 1

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1. What is the GCD of 407, 374, 430, 142?

GCD of 407, 374, 430, 142 is 1

2. Where do I get the detailed procedure to find GCD of 407, 374, 430, 142?

You can find a detailed procedure to find GCD of 407, 374, 430, 142 on our page.

3. How to find GCD of 407, 374, 430, 142 on a calculator?

You can find the GCD of 407, 374, 430, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.