GCD of 440, 360, 821, 653 Calculator

Given Input numbers are 440, 360, 821, 653

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

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 440, 360, 821, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 360, 821, 653 is 1.

Therefore, GCD of numbers 440, 360, 821, 653 is 1

Given Input Data is 440, 360, 821, 653

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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

Prime Factorization of 821 is 821

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(440, 360) = 3960

GCD(440, 360) = ( 440 x 360 ) / 3960

GCD(440, 360) = 158400 / 3960

GCD(440, 360) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 821

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

LCM(40, 821) = 32840

GCD(40, 821) = ( 40 x 821 ) / 32840

GCD(40, 821) = 32840 / 32840

GCD(40, 821) = 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 440, 360, 821, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 170, 900, 888
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• GCD of 110, 277, 106, 371
• GCD of 761, 998, 235, 280
• GCD of 131, 959, 155, 973

1. What is the GCD of 440, 360, 821, 653?

GCD of 440, 360, 821, 653 is 1

2. Where do I get the detailed procedure to find GCD of 440, 360, 821, 653?

You can find a detailed procedure to find GCD of 440, 360, 821, 653 on our page.

3. How to find GCD of 440, 360, 821, 653 on a calculator?

You can find the GCD of 440, 360, 821, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.