GCD of 741, 987, 657, 596 Calculator

Given Input numbers are 741, 987, 657, 596

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

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 741, 987, 657, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 987, 657, 596 is 1.

Therefore, GCD of numbers 741, 987, 657, 596 is 1

Given Input Data is 741, 987, 657, 596

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 596 is 2 x 2 x 149

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(741, 987) = 243789

GCD(741, 987) = ( 741 x 987 ) / 243789

GCD(741, 987) = 731367 / 243789

GCD(741, 987) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 657

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

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

GCD(3, 657) = 1971 / 657

GCD(3, 657) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 596

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

LCM(3, 596) = 1788

GCD(3, 596) = ( 3 x 596 ) / 1788

GCD(3, 596) = 1788 / 1788

GCD(3, 596) = 1

GCD of 741, 987, 657, 596 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 125, 658, 307
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• GCD of 987, 729, 666, 939
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• GCD of 536, 525, 408, 491

1. What is the GCD of 741, 987, 657, 596?

GCD of 741, 987, 657, 596 is 1

2. Where do I get the detailed procedure to find GCD of 741, 987, 657, 596?

You can find a detailed procedure to find GCD of 741, 987, 657, 596 on our page.

3. How to find GCD of 741, 987, 657, 596 on a calculator?

You can find the GCD of 741, 987, 657, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.