GCD of 802, 683, 48, 465 Calculator

Given Input numbers are 802, 683, 48, 465

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 802, 683, 48, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 683, 48, 465 is 1.

Therefore, GCD of numbers 802, 683, 48, 465 is 1

Given Input Data is 802, 683, 48, 465

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 683 is 683

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 465 is 3 x 5 x 31

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(802, 683) = 547766

GCD(802, 683) = ( 802 x 683 ) / 547766

GCD(802, 683) = 547766 / 547766

GCD(802, 683) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 802, 683, 48, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 130, 13, 784
• GCD of 113, 557, 79, 609
• GCD of 621, 525, 65, 732
• GCD of 716, 579, 94, 727
• GCD of 630, 187, 65, 417

1. What is the GCD of 802, 683, 48, 465?

GCD of 802, 683, 48, 465 is 1

2. Where do I get the detailed procedure to find GCD of 802, 683, 48, 465?

You can find a detailed procedure to find GCD of 802, 683, 48, 465 on our page.

3. How to find GCD of 802, 683, 48, 465 on a calculator?

You can find the GCD of 802, 683, 48, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.