GCD of 745, 981, 30, 468 Calculator

Given Input numbers are 745, 981, 30, 468

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 745, 981, 30, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 981, 30, 468 is 1.

Therefore, GCD of numbers 745, 981, 30, 468 is 1

Given Input Data is 745, 981, 30, 468

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(745, 981) = 730845

GCD(745, 981) = ( 745 x 981 ) / 730845

GCD(745, 981) = 730845 / 730845

GCD(745, 981) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 745, 981, 30, 468 is 1

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• GCD of 286, 965, 64, 508
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• GCD of 553, 651, 10, 457

1. What is the GCD of 745, 981, 30, 468?

GCD of 745, 981, 30, 468 is 1

2. Where do I get the detailed procedure to find GCD of 745, 981, 30, 468?

You can find a detailed procedure to find GCD of 745, 981, 30, 468 on our page.

3. How to find GCD of 745, 981, 30, 468 on a calculator?

You can find the GCD of 745, 981, 30, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.