GCD of 101, 830, 703, 462 Calculator

Given Input numbers are 101, 830, 703, 462

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 830

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

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

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Greatest Common Divisior

We found the divisors of 101, 830, 703, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 830, 703, 462 is 1.

Therefore, GCD of numbers 101, 830, 703, 462 is 1

Given Input Data is 101, 830, 703, 462

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

Prime Factorization of 101 is 101

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 703 is 19 x 37

Prime Factorization of 462 is 2 x 3 x 7 x 11

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(101, 830) = 83830

GCD(101, 830) = ( 101 x 830 ) / 83830

GCD(101, 830) = 83830 / 83830

GCD(101, 830) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 101, 830, 703, 462 is 1

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1. What is the GCD of 101, 830, 703, 462?

GCD of 101, 830, 703, 462 is 1

2. Where do I get the detailed procedure to find GCD of 101, 830, 703, 462?

You can find a detailed procedure to find GCD of 101, 830, 703, 462 on our page.

3. How to find GCD of 101, 830, 703, 462 on a calculator?

You can find the GCD of 101, 830, 703, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.