GCD of 359, 455, 47, 142 Calculator

Given Input numbers are 359, 455, 47, 142

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

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 359, 455, 47, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 455, 47, 142 is 1.

Therefore, GCD of numbers 359, 455, 47, 142 is 1

Given Input Data is 359, 455, 47, 142

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

Prime Factorization of 359 is 359

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 47 is 47

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(359, 455) = 163345

GCD(359, 455) = ( 359 x 455 ) / 163345

GCD(359, 455) = 163345 / 163345

GCD(359, 455) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 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 359, 455, 47, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 632, 68, 686
• GCD of 982, 530, 49, 476
• GCD of 518, 780, 21, 490
• GCD of 313, 172, 14, 971
• GCD of 943, 404, 62, 120

1. What is the GCD of 359, 455, 47, 142?

GCD of 359, 455, 47, 142 is 1

2. Where do I get the detailed procedure to find GCD of 359, 455, 47, 142?

You can find a detailed procedure to find GCD of 359, 455, 47, 142 on our page.

3. How to find GCD of 359, 455, 47, 142 on a calculator?

You can find the GCD of 359, 455, 47, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.