GCD of 483, 665, 742, 984 Calculator

Given Input numbers are 483, 665, 742, 984

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

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 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 483, 665, 742, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 665, 742, 984 is 1.

Therefore, GCD of numbers 483, 665, 742, 984 is 1

Given Input Data is 483, 665, 742, 984

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

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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(483, 665) = 45885

GCD(483, 665) = ( 483 x 665 ) / 45885

GCD(483, 665) = 321195 / 45885

GCD(483, 665) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 742

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

LCM(7, 742) = 742

GCD(7, 742) = ( 7 x 742 ) / 742

GCD(7, 742) = 5194 / 742

GCD(7, 742) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 984

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

LCM(7, 984) = 6888

GCD(7, 984) = ( 7 x 984 ) / 6888

GCD(7, 984) = 6888 / 6888

GCD(7, 984) = 1

GCD of 483, 665, 742, 984 is 1

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1. What is the GCD of 483, 665, 742, 984?

GCD of 483, 665, 742, 984 is 1

2. Where do I get the detailed procedure to find GCD of 483, 665, 742, 984?

You can find a detailed procedure to find GCD of 483, 665, 742, 984 on our page.

3. How to find GCD of 483, 665, 742, 984 on a calculator?

You can find the GCD of 483, 665, 742, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.