GCD of 760, 567, 78, 809 Calculator

Given Input numbers are 760, 567, 78, 809

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 760, 567, 78, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 567, 78, 809 is 1.

Therefore, GCD of numbers 760, 567, 78, 809 is 1

Given Input Data is 760, 567, 78, 809

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 809 is 809

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(760, 567) = 430920

GCD(760, 567) = ( 760 x 567 ) / 430920

GCD(760, 567) = 430920 / 430920

GCD(760, 567) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 760, 567, 78, 809 is 1

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• GCD of 265, 974, 97, 178
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1. What is the GCD of 760, 567, 78, 809?

GCD of 760, 567, 78, 809 is 1

2. Where do I get the detailed procedure to find GCD of 760, 567, 78, 809?

You can find a detailed procedure to find GCD of 760, 567, 78, 809 on our page.

3. How to find GCD of 760, 567, 78, 809 on a calculator?

You can find the GCD of 760, 567, 78, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.