GCD of 745, 765, 317, 861 Calculator

Given Input numbers are 745, 765, 317, 861

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

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 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 745, 765, 317, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 765, 317, 861 is 1.

Therefore, GCD of numbers 745, 765, 317, 861 is 1

Given Input Data is 745, 765, 317, 861

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

Prime Factorization of 745 is 5 x 149

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

Prime Factorization of 317 is 317

Prime Factorization of 861 is 3 x 7 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(745, 765) = 113985

GCD(745, 765) = ( 745 x 765 ) / 113985

GCD(745, 765) = 569925 / 113985

GCD(745, 765) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 317

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

LCM(5, 317) = 1585

GCD(5, 317) = ( 5 x 317 ) / 1585

GCD(5, 317) = 1585 / 1585

GCD(5, 317) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 745, 765, 317, 861 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 888, 731, 207
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• GCD of 746, 853, 872, 906

1. What is the GCD of 745, 765, 317, 861?

GCD of 745, 765, 317, 861 is 1

2. Where do I get the detailed procedure to find GCD of 745, 765, 317, 861?

You can find a detailed procedure to find GCD of 745, 765, 317, 861 on our page.

3. How to find GCD of 745, 765, 317, 861 on a calculator?

You can find the GCD of 745, 765, 317, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.