GCD of 435, 560, 174, 996 Calculator

Given Input numbers are 435, 560, 174, 996

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

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

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 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 435, 560, 174, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 560, 174, 996 is 1.

Therefore, GCD of numbers 435, 560, 174, 996 is 1

Given Input Data is 435, 560, 174, 996

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

Prime Factorization of 435 is 3 x 5 x 29

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 996 is 2 x 2 x 3 x 83

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(435, 560) = 48720

GCD(435, 560) = ( 435 x 560 ) / 48720

GCD(435, 560) = 243600 / 48720

GCD(435, 560) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 174

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

LCM(5, 174) = 870

GCD(5, 174) = ( 5 x 174 ) / 870

GCD(5, 174) = 870 / 870

GCD(5, 174) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 435, 560, 174, 996 is 1

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1. What is the GCD of 435, 560, 174, 996?

GCD of 435, 560, 174, 996 is 1

2. Where do I get the detailed procedure to find GCD of 435, 560, 174, 996?

You can find a detailed procedure to find GCD of 435, 560, 174, 996 on our page.

3. How to find GCD of 435, 560, 174, 996 on a calculator?

You can find the GCD of 435, 560, 174, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.