GCD of 113, 169, 58, 620 Calculator

Given Input numbers are 113, 169, 58, 620

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 58

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

1, 2, 29, 58

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 113, 169, 58, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 169, 58, 620 is 1.

Therefore, GCD of numbers 113, 169, 58, 620 is 1

Given Input Data is 113, 169, 58, 620

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

Prime Factorization of 113 is 113

Prime Factorization of 169 is 13 x 13

Prime Factorization of 58 is 2 x 29

Prime Factorization of 620 is 2 x 2 x 5 x 31

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(113, 169) = 19097

GCD(113, 169) = ( 113 x 169 ) / 19097

GCD(113, 169) = 19097 / 19097

GCD(113, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 620

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

LCM(1, 620) = 620

GCD(1, 620) = ( 1 x 620 ) / 620

GCD(1, 620) = 620 / 620

GCD(1, 620) = 1

GCD of 113, 169, 58, 620 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 175, 45, 611
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• GCD of 318, 441, 25, 476

1. What is the GCD of 113, 169, 58, 620?

GCD of 113, 169, 58, 620 is 1

2. Where do I get the detailed procedure to find GCD of 113, 169, 58, 620?

You can find a detailed procedure to find GCD of 113, 169, 58, 620 on our page.

3. How to find GCD of 113, 169, 58, 620 on a calculator?

You can find the GCD of 113, 169, 58, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.