GCD of 125, 402, 13, 830 Calculator

Given Input numbers are 125, 402, 13, 830

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

Divisors of 125

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

1, 5, 25, 125

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 125, 402, 13, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 402, 13, 830 is 1.

Therefore, GCD of numbers 125, 402, 13, 830 is 1

Given Input Data is 125, 402, 13, 830

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 13 is 13

Prime Factorization of 830 is 2 x 5 x 83

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(125, 402) = 50250

GCD(125, 402) = ( 125 x 402 ) / 50250

GCD(125, 402) = 50250 / 50250

GCD(125, 402) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 125, 402, 13, 830 is 1

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• GCD of 117, 797, 98, 649
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• GCD of 700, 518, 78, 690

1. What is the GCD of 125, 402, 13, 830?

GCD of 125, 402, 13, 830 is 1

2. Where do I get the detailed procedure to find GCD of 125, 402, 13, 830?

You can find a detailed procedure to find GCD of 125, 402, 13, 830 on our page.

3. How to find GCD of 125, 402, 13, 830 on a calculator?

You can find the GCD of 125, 402, 13, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.