GCD of 611, 705, 859, 972 Calculator

Given Input numbers are 611, 705, 859, 972

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

Divisors of 611

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

1, 13, 47, 611

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 611, 705, 859, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 611, 705, 859, 972 is 1.

Therefore, GCD of numbers 611, 705, 859, 972 is 1

Given Input Data is 611, 705, 859, 972

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

Prime Factorization of 611 is 13 x 47

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 859 is 859

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(611, 705) = 9165

GCD(611, 705) = ( 611 x 705 ) / 9165

GCD(611, 705) = 430755 / 9165

GCD(611, 705) = 47

Step2:

Here we consider the GCD from the above i.e. 47 as first number and the next as 859

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

LCM(47, 859) = 40373

GCD(47, 859) = ( 47 x 859 ) / 40373

GCD(47, 859) = 40373 / 40373

GCD(47, 859) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 611, 705, 859, 972 is 1

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1. What is the GCD of 611, 705, 859, 972?

GCD of 611, 705, 859, 972 is 1

2. Where do I get the detailed procedure to find GCD of 611, 705, 859, 972?

You can find a detailed procedure to find GCD of 611, 705, 859, 972 on our page.

3. How to find GCD of 611, 705, 859, 972 on a calculator?

You can find the GCD of 611, 705, 859, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.