GCD of 364, 140, 58, 475 Calculator

Given Input numbers are 364, 140, 58, 475

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 475

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

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 364, 140, 58, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 140, 58, 475 is 1.

Therefore, GCD of numbers 364, 140, 58, 475 is 1

Given Input Data is 364, 140, 58, 475

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 58 is 2 x 29

Prime Factorization of 475 is 5 x 5 x 19

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(364, 140) = 1820

GCD(364, 140) = ( 364 x 140 ) / 1820

GCD(364, 140) = 50960 / 1820

GCD(364, 140) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 58

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

LCM(28, 58) = 812

GCD(28, 58) = ( 28 x 58 ) / 812

GCD(28, 58) = 1624 / 812

GCD(28, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 475

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

LCM(2, 475) = 950

GCD(2, 475) = ( 2 x 475 ) / 950

GCD(2, 475) = 950 / 950

GCD(2, 475) = 1

GCD of 364, 140, 58, 475 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 844, 219, 64, 259
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• GCD of 389, 511, 48, 949
• GCD of 883, 507, 25, 753

1. What is the GCD of 364, 140, 58, 475?

GCD of 364, 140, 58, 475 is 1

2. Where do I get the detailed procedure to find GCD of 364, 140, 58, 475?

You can find a detailed procedure to find GCD of 364, 140, 58, 475 on our page.

3. How to find GCD of 364, 140, 58, 475 on a calculator?

You can find the GCD of 364, 140, 58, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.