GCD of 120, 497, 80, 783 Calculator

Given Input numbers are 120, 497, 80, 783

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 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 120, 497, 80, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 497, 80, 783 is 1.

Therefore, GCD of numbers 120, 497, 80, 783 is 1

Given Input Data is 120, 497, 80, 783

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 497 is 7 x 71

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 783 is 3 x 3 x 3 x 29

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, 497) = 59640

GCD(120, 497) = ( 120 x 497 ) / 59640

GCD(120, 497) = 59640 / 59640

GCD(120, 497) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

GCD of 120, 497, 80, 783 is 1

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• GCD of 385, 316, 61, 150
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1. What is the GCD of 120, 497, 80, 783?

GCD of 120, 497, 80, 783 is 1

2. Where do I get the detailed procedure to find GCD of 120, 497, 80, 783?

You can find a detailed procedure to find GCD of 120, 497, 80, 783 on our page.

3. How to find GCD of 120, 497, 80, 783 on a calculator?

You can find the GCD of 120, 497, 80, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.