GCD of 769, 402, 820, 355 Calculator

Given Input numbers are 769, 402, 820, 355

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 769, 402, 820, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 402, 820, 355 is 1.

Therefore, GCD of numbers 769, 402, 820, 355 is 1

Given Input Data is 769, 402, 820, 355

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

Prime Factorization of 769 is 769

Prime Factorization of 402 is 2 x 3 x 67

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

Prime Factorization of 355 is 5 x 71

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(769, 402) = 309138

GCD(769, 402) = ( 769 x 402 ) / 309138

GCD(769, 402) = 309138 / 309138

GCD(769, 402) = 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 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 769, 402, 820, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 686, 184, 315, 783
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• GCD of 613, 914, 961, 893

1. What is the GCD of 769, 402, 820, 355?

GCD of 769, 402, 820, 355 is 1

2. Where do I get the detailed procedure to find GCD of 769, 402, 820, 355?

You can find a detailed procedure to find GCD of 769, 402, 820, 355 on our page.

3. How to find GCD of 769, 402, 820, 355 on a calculator?

You can find the GCD of 769, 402, 820, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.