GCD of 120, 102, 493, 677 Calculator

Given Input numbers are 120, 102, 493, 677

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

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 120, 102, 493, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 102, 493, 677 is 1.

Therefore, GCD of numbers 120, 102, 493, 677 is 1

Given Input Data is 120, 102, 493, 677

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 493 is 17 x 29

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(120, 102) = 2040

GCD(120, 102) = ( 120 x 102 ) / 2040

GCD(120, 102) = 12240 / 2040

GCD(120, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 493

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

LCM(6, 493) = 2958

GCD(6, 493) = ( 6 x 493 ) / 2958

GCD(6, 493) = 2958 / 2958

GCD(6, 493) = 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 120, 102, 493, 677 is 1

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• GCD of 237, 364, 550, 165
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1. What is the GCD of 120, 102, 493, 677?

GCD of 120, 102, 493, 677 is 1

2. Where do I get the detailed procedure to find GCD of 120, 102, 493, 677?

You can find a detailed procedure to find GCD of 120, 102, 493, 677 on our page.

3. How to find GCD of 120, 102, 493, 677 on a calculator?

You can find the GCD of 120, 102, 493, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.