GCD of 77, 320, 755, 815 Calculator

Given Input numbers are 77, 320, 755, 815

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 77, 320, 755, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 320, 755, 815 is 1.

Therefore, GCD of numbers 77, 320, 755, 815 is 1

Given Input Data is 77, 320, 755, 815

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 755 is 5 x 151

Prime Factorization of 815 is 5 x 163

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(77, 320) = 24640

GCD(77, 320) = ( 77 x 320 ) / 24640

GCD(77, 320) = 24640 / 24640

GCD(77, 320) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 815

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

LCM(1, 815) = 815

GCD(1, 815) = ( 1 x 815 ) / 815

GCD(1, 815) = 815 / 815

GCD(1, 815) = 1

GCD of 77, 320, 755, 815 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 724, 299, 476
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• GCD of 78, 434, 718, 407
• GCD of 98, 480, 683, 671

1. What is the GCD of 77, 320, 755, 815?

GCD of 77, 320, 755, 815 is 1

2. Where do I get the detailed procedure to find GCD of 77, 320, 755, 815?

You can find a detailed procedure to find GCD of 77, 320, 755, 815 on our page.

3. How to find GCD of 77, 320, 755, 815 on a calculator?

You can find the GCD of 77, 320, 755, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.