GCD of 560, 153, 785, 422 Calculator

Given Input numbers are 560, 153, 785, 422

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 560, 153, 785, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 153, 785, 422 is 1.

Therefore, GCD of numbers 560, 153, 785, 422 is 1

Given Input Data is 560, 153, 785, 422

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 785 is 5 x 157

Prime Factorization of 422 is 2 x 211

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(560, 153) = 85680

GCD(560, 153) = ( 560 x 153 ) / 85680

GCD(560, 153) = 85680 / 85680

GCD(560, 153) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 560, 153, 785, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 840, 325, 139
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• GCD of 806, 123, 580, 844
• GCD of 225, 111, 239, 758
• GCD of 276, 702, 994, 823

1. What is the GCD of 560, 153, 785, 422?

GCD of 560, 153, 785, 422 is 1

2. Where do I get the detailed procedure to find GCD of 560, 153, 785, 422?

You can find a detailed procedure to find GCD of 560, 153, 785, 422 on our page.

3. How to find GCD of 560, 153, 785, 422 on a calculator?

You can find the GCD of 560, 153, 785, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.