GCD of 101, 820, 172, 602 Calculator

Given Input numbers are 101, 820, 172, 602

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 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 101, 820, 172, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 820, 172, 602 is 1.

Therefore, GCD of numbers 101, 820, 172, 602 is 1

Given Input Data is 101, 820, 172, 602

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

Prime Factorization of 101 is 101

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 602 is 2 x 7 x 43

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, 820) = 82820

GCD(101, 820) = ( 101 x 820 ) / 82820

GCD(101, 820) = 82820 / 82820

GCD(101, 820) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1

GCD of 101, 820, 172, 602 is 1

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1. What is the GCD of 101, 820, 172, 602?

GCD of 101, 820, 172, 602 is 1

2. Where do I get the detailed procedure to find GCD of 101, 820, 172, 602?

You can find a detailed procedure to find GCD of 101, 820, 172, 602 on our page.

3. How to find GCD of 101, 820, 172, 602 on a calculator?

You can find the GCD of 101, 820, 172, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.