GCD of 742, 511, 961, 853 Calculator

Given Input numbers are 742, 511, 961, 853

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 742, 511, 961, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 511, 961, 853 is 1.

Therefore, GCD of numbers 742, 511, 961, 853 is 1

Given Input Data is 742, 511, 961, 853

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 511 is 7 x 73

Prime Factorization of 961 is 31 x 31

Prime Factorization of 853 is 853

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(742, 511) = 54166

GCD(742, 511) = ( 742 x 511 ) / 54166

GCD(742, 511) = 379162 / 54166

GCD(742, 511) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 961

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

LCM(7, 961) = 6727

GCD(7, 961) = ( 7 x 961 ) / 6727

GCD(7, 961) = 6727 / 6727

GCD(7, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 742, 511, 961, 853 is 1

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1. What is the GCD of 742, 511, 961, 853?

GCD of 742, 511, 961, 853 is 1

2. Where do I get the detailed procedure to find GCD of 742, 511, 961, 853?

You can find a detailed procedure to find GCD of 742, 511, 961, 853 on our page.

3. How to find GCD of 742, 511, 961, 853 on a calculator?

You can find the GCD of 742, 511, 961, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.