GCD of 101, 930, 820, 827 Calculator

Given Input numbers are 101, 930, 820, 827

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 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 101, 930, 820, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 930, 820, 827 is 1.

Therefore, GCD of numbers 101, 930, 820, 827 is 1

Given Input Data is 101, 930, 820, 827

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

Prime Factorization of 101 is 101

Prime Factorization of 930 is 2 x 3 x 5 x 31

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

Prime Factorization of 827 is 827

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, 930) = 93930

GCD(101, 930) = ( 101 x 930 ) / 93930

GCD(101, 930) = 93930 / 93930

GCD(101, 930) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 101, 930, 820, 827 is 1

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1. What is the GCD of 101, 930, 820, 827?

GCD of 101, 930, 820, 827 is 1

2. Where do I get the detailed procedure to find GCD of 101, 930, 820, 827?

You can find a detailed procedure to find GCD of 101, 930, 820, 827 on our page.

3. How to find GCD of 101, 930, 820, 827 on a calculator?

You can find the GCD of 101, 930, 820, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.