GCD of 465, 822, 574, 653 Calculator

Given Input numbers are 465, 822, 574, 653

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 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 465, 822, 574, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 822, 574, 653 is 1.

Therefore, GCD of numbers 465, 822, 574, 653 is 1

Given Input Data is 465, 822, 574, 653

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 822 is 2 x 3 x 137

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 653 is 653

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, 822) = 127410

GCD(465, 822) = ( 465 x 822 ) / 127410

GCD(465, 822) = 382230 / 127410

GCD(465, 822) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 574

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

LCM(3, 574) = 1722

GCD(3, 574) = ( 3 x 574 ) / 1722

GCD(3, 574) = 1722 / 1722

GCD(3, 574) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 465, 822, 574, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 720, 790, 535
• GCD of 441, 447, 703, 297
• GCD of 139, 318, 403, 337
• GCD of 275, 955, 746, 278
• GCD of 288, 665, 658, 940

1. What is the GCD of 465, 822, 574, 653?

GCD of 465, 822, 574, 653 is 1

2. Where do I get the detailed procedure to find GCD of 465, 822, 574, 653?

You can find a detailed procedure to find GCD of 465, 822, 574, 653 on our page.

3. How to find GCD of 465, 822, 574, 653 on a calculator?

You can find the GCD of 465, 822, 574, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.