GCD of 57, 125, 361, 142 Calculator

Given Input numbers are 57, 125, 361, 142

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

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 57, 125, 361, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 125, 361, 142 is 1.

Therefore, GCD of numbers 57, 125, 361, 142 is 1

Given Input Data is 57, 125, 361, 142

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 361 is 19 x 19

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(57, 125) = 7125

GCD(57, 125) = ( 57 x 125 ) / 7125

GCD(57, 125) = 7125 / 7125

GCD(57, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 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 57, 125, 361, 142 is 1

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• GCD of 40, 693, 736, 475
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1. What is the GCD of 57, 125, 361, 142?

GCD of 57, 125, 361, 142 is 1

2. Where do I get the detailed procedure to find GCD of 57, 125, 361, 142?

You can find a detailed procedure to find GCD of 57, 125, 361, 142 on our page.

3. How to find GCD of 57, 125, 361, 142 on a calculator?

You can find the GCD of 57, 125, 361, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.