GCD of 362, 560, 695, 944 Calculator

Given Input numbers are 362, 560, 695, 944

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

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 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 362, 560, 695, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 560, 695, 944 is 1.

Therefore, GCD of numbers 362, 560, 695, 944 is 1

Given Input Data is 362, 560, 695, 944

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

Prime Factorization of 362 is 2 x 181

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

Prime Factorization of 695 is 5 x 139

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(362, 560) = 101360

GCD(362, 560) = ( 362 x 560 ) / 101360

GCD(362, 560) = 202720 / 101360

GCD(362, 560) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 695

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

LCM(2, 695) = 1390

GCD(2, 695) = ( 2 x 695 ) / 1390

GCD(2, 695) = 1390 / 1390

GCD(2, 695) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 362, 560, 695, 944 is 1

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1. What is the GCD of 362, 560, 695, 944?

GCD of 362, 560, 695, 944 is 1

2. Where do I get the detailed procedure to find GCD of 362, 560, 695, 944?

You can find a detailed procedure to find GCD of 362, 560, 695, 944 on our page.

3. How to find GCD of 362, 560, 695, 944 on a calculator?

You can find the GCD of 362, 560, 695, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.