GCD of 465, 711, 869, 107 Calculator

Given Input numbers are 465, 711, 869, 107

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

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 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 465, 711, 869, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 711, 869, 107 is 1.

Therefore, GCD of numbers 465, 711, 869, 107 is 1

Given Input Data is 465, 711, 869, 107

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 869 is 11 x 79

Prime Factorization of 107 is 107

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(465, 711) = 110205

GCD(465, 711) = ( 465 x 711 ) / 110205

GCD(465, 711) = 330615 / 110205

GCD(465, 711) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 869

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

LCM(3, 869) = 2607

GCD(3, 869) = ( 3 x 869 ) / 2607

GCD(3, 869) = 2607 / 2607

GCD(3, 869) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 465, 711, 869, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 279, 399, 614
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• GCD of 163, 399, 887, 839

1. What is the GCD of 465, 711, 869, 107?

GCD of 465, 711, 869, 107 is 1

2. Where do I get the detailed procedure to find GCD of 465, 711, 869, 107?

You can find a detailed procedure to find GCD of 465, 711, 869, 107 on our page.

3. How to find GCD of 465, 711, 869, 107 on a calculator?

You can find the GCD of 465, 711, 869, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.