GCD of 465, 396, 743, 982 Calculator

Given Input numbers are 465, 396, 743, 982

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 465, 396, 743, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 396, 743, 982 is 1.

Therefore, GCD of numbers 465, 396, 743, 982 is 1

Given Input Data is 465, 396, 743, 982

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 743 is 743

Prime Factorization of 982 is 2 x 491

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(465, 396) = 61380

GCD(465, 396) = ( 465 x 396 ) / 61380

GCD(465, 396) = 184140 / 61380

GCD(465, 396) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 743

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

LCM(3, 743) = 2229

GCD(3, 743) = ( 3 x 743 ) / 2229

GCD(3, 743) = 2229 / 2229

GCD(3, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 465, 396, 743, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 391, 201, 707
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• GCD of 798, 813, 286, 874
• GCD of 604, 315, 949, 210
• GCD of 460, 755, 757, 511

1. What is the GCD of 465, 396, 743, 982?

GCD of 465, 396, 743, 982 is 1

2. Where do I get the detailed procedure to find GCD of 465, 396, 743, 982?

You can find a detailed procedure to find GCD of 465, 396, 743, 982 on our page.

3. How to find GCD of 465, 396, 743, 982 on a calculator?

You can find the GCD of 465, 396, 743, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.