GCD of 724, 302, 83, 765 Calculator

Given Input numbers are 724, 302, 83, 765

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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

Greatest Common Divisior

We found the divisors of 724, 302, 83, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 302, 83, 765 is 1.

Therefore, GCD of numbers 724, 302, 83, 765 is 1

Given Input Data is 724, 302, 83, 765

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 302 is 2 x 151

Prime Factorization of 83 is 83

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(724, 302) = 109324

GCD(724, 302) = ( 724 x 302 ) / 109324

GCD(724, 302) = 218648 / 109324

GCD(724, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 724, 302, 83, 765 is 1

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• GCD of 104, 769, 79, 852
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• GCD of 687, 316, 19, 556

1. What is the GCD of 724, 302, 83, 765?

GCD of 724, 302, 83, 765 is 1

2. Where do I get the detailed procedure to find GCD of 724, 302, 83, 765?

You can find a detailed procedure to find GCD of 724, 302, 83, 765 on our page.

3. How to find GCD of 724, 302, 83, 765 on a calculator?

You can find the GCD of 724, 302, 83, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.