GCD of 654, 483, 695, 677 Calculator

Given Input numbers are 654, 483, 695, 677

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

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 654, 483, 695, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 483, 695, 677 is 1.

Therefore, GCD of numbers 654, 483, 695, 677 is 1

Given Input Data is 654, 483, 695, 677

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 695 is 5 x 139

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(654, 483) = 105294

GCD(654, 483) = ( 654 x 483 ) / 105294

GCD(654, 483) = 315882 / 105294

GCD(654, 483) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 695

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

LCM(3, 695) = 2085

GCD(3, 695) = ( 3 x 695 ) / 2085

GCD(3, 695) = 2085 / 2085

GCD(3, 695) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 654, 483, 695, 677 is 1

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1. What is the GCD of 654, 483, 695, 677?

GCD of 654, 483, 695, 677 is 1

2. Where do I get the detailed procedure to find GCD of 654, 483, 695, 677?

You can find a detailed procedure to find GCD of 654, 483, 695, 677 on our page.

3. How to find GCD of 654, 483, 695, 677 on a calculator?

You can find the GCD of 654, 483, 695, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.