GCD of 460, 955, 15, 767 Calculator

Given Input numbers are 460, 955, 15, 767

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 460, 955, 15, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 955, 15, 767 is 1.

Therefore, GCD of numbers 460, 955, 15, 767 is 1

Given Input Data is 460, 955, 15, 767

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 955 is 5 x 191

Prime Factorization of 15 is 3 x 5

Prime Factorization of 767 is 13 x 59

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(460, 955) = 87860

GCD(460, 955) = ( 460 x 955 ) / 87860

GCD(460, 955) = 439300 / 87860

GCD(460, 955) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 15

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

LCM(5, 15) = 15

GCD(5, 15) = ( 5 x 15 ) / 15

GCD(5, 15) = 75 / 15

GCD(5, 15) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 767

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

LCM(5, 767) = 3835

GCD(5, 767) = ( 5 x 767 ) / 3835

GCD(5, 767) = 3835 / 3835

GCD(5, 767) = 1

GCD of 460, 955, 15, 767 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 903, 25, 946
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1. What is the GCD of 460, 955, 15, 767?

GCD of 460, 955, 15, 767 is 1

2. Where do I get the detailed procedure to find GCD of 460, 955, 15, 767?

You can find a detailed procedure to find GCD of 460, 955, 15, 767 on our page.

3. How to find GCD of 460, 955, 15, 767 on a calculator?

You can find the GCD of 460, 955, 15, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.