GCD of 765, 241, 86, 674 Calculator

Given Input numbers are 765, 241, 86, 674

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

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 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 765, 241, 86, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 241, 86, 674 is 1.

Therefore, GCD of numbers 765, 241, 86, 674 is 1

Given Input Data is 765, 241, 86, 674

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

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

Prime Factorization of 241 is 241

Prime Factorization of 86 is 2 x 43

Prime Factorization of 674 is 2 x 337

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(765, 241) = 184365

GCD(765, 241) = ( 765 x 241 ) / 184365

GCD(765, 241) = 184365 / 184365

GCD(765, 241) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 765, 241, 86, 674 is 1

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1. What is the GCD of 765, 241, 86, 674?

GCD of 765, 241, 86, 674 is 1

2. Where do I get the detailed procedure to find GCD of 765, 241, 86, 674?

You can find a detailed procedure to find GCD of 765, 241, 86, 674 on our page.

3. How to find GCD of 765, 241, 86, 674 on a calculator?

You can find the GCD of 765, 241, 86, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.