GCD of 872, 560, 611, 734 Calculator

Given Input numbers are 872, 560, 611, 734

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

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 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 872, 560, 611, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 560, 611, 734 is 1.

Therefore, GCD of numbers 872, 560, 611, 734 is 1

Given Input Data is 872, 560, 611, 734

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

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

Prime Factorization of 611 is 13 x 47

Prime Factorization of 734 is 2 x 367

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(872, 560) = 61040

GCD(872, 560) = ( 872 x 560 ) / 61040

GCD(872, 560) = 488320 / 61040

GCD(872, 560) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 611

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

LCM(8, 611) = 4888

GCD(8, 611) = ( 8 x 611 ) / 4888

GCD(8, 611) = 4888 / 4888

GCD(8, 611) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 872, 560, 611, 734 is 1

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1. What is the GCD of 872, 560, 611, 734?

GCD of 872, 560, 611, 734 is 1

2. Where do I get the detailed procedure to find GCD of 872, 560, 611, 734?

You can find a detailed procedure to find GCD of 872, 560, 611, 734 on our page.

3. How to find GCD of 872, 560, 611, 734 on a calculator?

You can find the GCD of 872, 560, 611, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.