GCD of 677, 676, 61, 864 Calculator

Given Input numbers are 677, 676, 61, 864

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

Divisors of 677

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

1, 677

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 677, 676, 61, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 676, 61, 864 is 1.

Therefore, GCD of numbers 677, 676, 61, 864 is 1

Given Input Data is 677, 676, 61, 864

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

Prime Factorization of 677 is 677

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 61 is 61

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(677, 676) = 457652

GCD(677, 676) = ( 677 x 676 ) / 457652

GCD(677, 676) = 457652 / 457652

GCD(677, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 677, 676, 61, 864 is 1

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1. What is the GCD of 677, 676, 61, 864?

GCD of 677, 676, 61, 864 is 1

2. Where do I get the detailed procedure to find GCD of 677, 676, 61, 864?

You can find a detailed procedure to find GCD of 677, 676, 61, 864 on our page.

3. How to find GCD of 677, 676, 61, 864 on a calculator?

You can find the GCD of 677, 676, 61, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.