GCD of 677, 685, 29, 976 Calculator

Given Input numbers are 677, 685, 29, 976

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 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Greatest Common Divisior

We found the divisors of 677, 685, 29, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 685, 29, 976 is 1.

Therefore, GCD of numbers 677, 685, 29, 976 is 1

Given Input Data is 677, 685, 29, 976

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

Prime Factorization of 677 is 677

Prime Factorization of 685 is 5 x 137

Prime Factorization of 29 is 29

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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, 685) = 463745

GCD(677, 685) = ( 677 x 685 ) / 463745

GCD(677, 685) = 463745 / 463745

GCD(677, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

GCD of 677, 685, 29, 976 is 1

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1. What is the GCD of 677, 685, 29, 976?

GCD of 677, 685, 29, 976 is 1

2. Where do I get the detailed procedure to find GCD of 677, 685, 29, 976?

You can find a detailed procedure to find GCD of 677, 685, 29, 976 on our page.

3. How to find GCD of 677, 685, 29, 976 on a calculator?

You can find the GCD of 677, 685, 29, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.