GCD of 765, 160, 820, 167 Calculator

Given Input numbers are 765, 160, 820, 167

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

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

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 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 765, 160, 820, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 160, 820, 167 is 1.

Therefore, GCD of numbers 765, 160, 820, 167 is 1

Given Input Data is 765, 160, 820, 167

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

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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

Prime Factorization of 167 is 167

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(765, 160) = 24480

GCD(765, 160) = ( 765 x 160 ) / 24480

GCD(765, 160) = 122400 / 24480

GCD(765, 160) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 820

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

LCM(5, 820) = 820

GCD(5, 820) = ( 5 x 820 ) / 820

GCD(5, 820) = 4100 / 820

GCD(5, 820) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 167

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

LCM(5, 167) = 835

GCD(5, 167) = ( 5 x 167 ) / 835

GCD(5, 167) = 835 / 835

GCD(5, 167) = 1

GCD of 765, 160, 820, 167 is 1

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1. What is the GCD of 765, 160, 820, 167?

GCD of 765, 160, 820, 167 is 1

2. Where do I get the detailed procedure to find GCD of 765, 160, 820, 167?

You can find a detailed procedure to find GCD of 765, 160, 820, 167 on our page.

3. How to find GCD of 765, 160, 820, 167 on a calculator?

You can find the GCD of 765, 160, 820, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.