GCD of 58, 119, 653, 203 Calculator

Given Input numbers are 58, 119, 653, 203

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

Divisors of 58

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

1, 2, 29, 58

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 58, 119, 653, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 119, 653, 203 is 1.

Therefore, GCD of numbers 58, 119, 653, 203 is 1

Given Input Data is 58, 119, 653, 203

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 119 is 7 x 17

Prime Factorization of 653 is 653

Prime Factorization of 203 is 7 x 29

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(58, 119) = 6902

GCD(58, 119) = ( 58 x 119 ) / 6902

GCD(58, 119) = 6902 / 6902

GCD(58, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 58, 119, 653, 203 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 342, 567, 857
• GCD of 31, 192, 532, 360
• GCD of 92, 949, 821, 645
• GCD of 53, 577, 906, 511
• GCD of 12, 961, 827, 441

1. What is the GCD of 58, 119, 653, 203?

GCD of 58, 119, 653, 203 is 1

2. Where do I get the detailed procedure to find GCD of 58, 119, 653, 203?

You can find a detailed procedure to find GCD of 58, 119, 653, 203 on our page.

3. How to find GCD of 58, 119, 653, 203 on a calculator?

You can find the GCD of 58, 119, 653, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.