GCD of 820, 914, 677 Calculator

Given Input numbers are 820, 914, 677

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

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 820, 914, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 914, 677 is 1.

Therefore, GCD of numbers 820, 914, 677 is 1

Given Input Data is 820, 914, 677

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

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 677 is 677

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(820, 914) = 374740

GCD(820, 914) = ( 820 x 914 ) / 374740

GCD(820, 914) = 749480 / 374740

GCD(820, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 677

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

LCM(2, 677) = 1354

GCD(2, 677) = ( 2 x 677 ) / 1354

GCD(2, 677) = 1354 / 1354

GCD(2, 677) = 1

GCD of 820, 914, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 952, 754
• GCD of 112, 741, 283
• GCD of 244, 734, 746
• GCD of 406, 703, 546
• GCD of 839, 293, 172

1. What is the GCD of 820, 914, 677?

GCD of 820, 914, 677 is 1

2. Where do I get the detailed procedure to find GCD of 820, 914, 677?

You can find a detailed procedure to find GCD of 820, 914, 677 on our page.

3. How to find GCD of 820, 914, 677 on a calculator?

You can find the GCD of 820, 914, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.