GCD of 465, 778, 748, 360 Calculator

Given Input numbers are 465, 778, 748, 360

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 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 465, 778, 748, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 778, 748, 360 is 1.

Therefore, GCD of numbers 465, 778, 748, 360 is 1

Given Input Data is 465, 778, 748, 360

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 778 is 2 x 389

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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, 778) = 361770

GCD(465, 778) = ( 465 x 778 ) / 361770

GCD(465, 778) = 361770 / 361770

GCD(465, 778) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 465, 778, 748, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 961, 404, 677, 771
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1. What is the GCD of 465, 778, 748, 360?

GCD of 465, 778, 748, 360 is 1

2. Where do I get the detailed procedure to find GCD of 465, 778, 748, 360?

You can find a detailed procedure to find GCD of 465, 778, 748, 360 on our page.

3. How to find GCD of 465, 778, 748, 360 on a calculator?

You can find the GCD of 465, 778, 748, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.