GCD of 194, 158, 765, 820 Calculator

Given Input numbers are 194, 158, 765, 820

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

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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

Greatest Common Divisior

We found the divisors of 194, 158, 765, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 158, 765, 820 is 1.

Therefore, GCD of numbers 194, 158, 765, 820 is 1

Given Input Data is 194, 158, 765, 820

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 158 is 2 x 79

Prime Factorization of 765 is 3 x 3 x 5 x 17

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

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(194, 158) = 15326

GCD(194, 158) = ( 194 x 158 ) / 15326

GCD(194, 158) = 30652 / 15326

GCD(194, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 765

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

LCM(2, 765) = 1530

GCD(2, 765) = ( 2 x 765 ) / 1530

GCD(2, 765) = 1530 / 1530

GCD(2, 765) = 1

Step3:

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

GCD of 194, 158, 765, 820 is 1

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1. What is the GCD of 194, 158, 765, 820?

GCD of 194, 158, 765, 820 is 1

2. Where do I get the detailed procedure to find GCD of 194, 158, 765, 820?

You can find a detailed procedure to find GCD of 194, 158, 765, 820 on our page.

3. How to find GCD of 194, 158, 765, 820 on a calculator?

You can find the GCD of 194, 158, 765, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.