GCD of 483, 765, 343, 565 Calculator

Given Input numbers are 483, 765, 343, 565

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 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 483, 765, 343, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 765, 343, 565 is 1.

Therefore, GCD of numbers 483, 765, 343, 565 is 1

Given Input Data is 483, 765, 343, 565

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 765 is 3 x 3 x 5 x 17

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 565 is 5 x 113

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, 765) = 123165

GCD(483, 765) = ( 483 x 765 ) / 123165

GCD(483, 765) = 369495 / 123165

GCD(483, 765) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 343

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

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

GCD(3, 343) = 1029 / 1029

GCD(3, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 483, 765, 343, 565 is 1

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1. What is the GCD of 483, 765, 343, 565?

GCD of 483, 765, 343, 565 is 1

2. Where do I get the detailed procedure to find GCD of 483, 765, 343, 565?

You can find a detailed procedure to find GCD of 483, 765, 343, 565 on our page.

3. How to find GCD of 483, 765, 343, 565 on a calculator?

You can find the GCD of 483, 765, 343, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.