GCD of 741, 945, 21, 617 Calculator

Given Input numbers are 741, 945, 21, 617

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 741, 945, 21, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 945, 21, 617 is 1.

Therefore, GCD of numbers 741, 945, 21, 617 is 1

Given Input Data is 741, 945, 21, 617

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 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 21 is 3 x 7

Prime Factorization of 617 is 617

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, 945) = 233415

GCD(741, 945) = ( 741 x 945 ) / 233415

GCD(741, 945) = 700245 / 233415

GCD(741, 945) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 617

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

LCM(3, 617) = 1851

GCD(3, 617) = ( 3 x 617 ) / 1851

GCD(3, 617) = 1851 / 1851

GCD(3, 617) = 1

GCD of 741, 945, 21, 617 is 1

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1. What is the GCD of 741, 945, 21, 617?

GCD of 741, 945, 21, 617 is 1

2. Where do I get the detailed procedure to find GCD of 741, 945, 21, 617?

You can find a detailed procedure to find GCD of 741, 945, 21, 617 on our page.

3. How to find GCD of 741, 945, 21, 617 on a calculator?

You can find the GCD of 741, 945, 21, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.