GCD of 782, 120, 755, 689 Calculator

Given Input numbers are 782, 120, 755, 689

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

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 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 782, 120, 755, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 120, 755, 689 is 1.

Therefore, GCD of numbers 782, 120, 755, 689 is 1

Given Input Data is 782, 120, 755, 689

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

Prime Factorization of 782 is 2 x 17 x 23

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 689 is 13 x 53

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(782, 120) = 46920

GCD(782, 120) = ( 782 x 120 ) / 46920

GCD(782, 120) = 93840 / 46920

GCD(782, 120) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 755

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

LCM(2, 755) = 1510

GCD(2, 755) = ( 2 x 755 ) / 1510

GCD(2, 755) = 1510 / 1510

GCD(2, 755) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 782, 120, 755, 689 is 1

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1. What is the GCD of 782, 120, 755, 689?

GCD of 782, 120, 755, 689 is 1

2. Where do I get the detailed procedure to find GCD of 782, 120, 755, 689?

You can find a detailed procedure to find GCD of 782, 120, 755, 689 on our page.

3. How to find GCD of 782, 120, 755, 689 on a calculator?

You can find the GCD of 782, 120, 755, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.