GCD of 965, 473, 465, 983 Calculator

Given Input numbers are 965, 473, 465, 983

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

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Greatest Common Divisior

We found the divisors of 965, 473, 465, 983 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 473, 465, 983 is 1.

Therefore, GCD of numbers 965, 473, 465, 983 is 1

Given Input Data is 965, 473, 465, 983

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 473 is 11 x 43

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 983 is 983

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(965, 473) = 456445

GCD(965, 473) = ( 965 x 473 ) / 456445

GCD(965, 473) = 456445 / 456445

GCD(965, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 983

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

LCM(1, 983) = 983

GCD(1, 983) = ( 1 x 983 ) / 983

GCD(1, 983) = 983 / 983

GCD(1, 983) = 1

GCD of 965, 473, 465, 983 is 1

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1. What is the GCD of 965, 473, 465, 983?

GCD of 965, 473, 465, 983 is 1

2. Where do I get the detailed procedure to find GCD of 965, 473, 465, 983?

You can find a detailed procedure to find GCD of 965, 473, 465, 983 on our page.

3. How to find GCD of 965, 473, 465, 983 on a calculator?

You can find the GCD of 965, 473, 465, 983 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.