GCD of 645, 762, 732, 408 Calculator

Given Input numbers are 645, 762, 732, 408

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 645, 762, 732, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 762, 732, 408 is 3.

Therefore, GCD of numbers 645, 762, 732, 408 is 3

Given Input Data is 645, 762, 732, 408

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(645, 762) = 163830

GCD(645, 762) = ( 645 x 762 ) / 163830

GCD(645, 762) = 491490 / 163830

GCD(645, 762) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 732

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

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

GCD(3, 732) = 2196 / 732

GCD(3, 732) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 408

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

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

GCD(3, 408) = 1224 / 408

GCD(3, 408) = 3

GCD of 645, 762, 732, 408 is 3

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1. What is the GCD of 645, 762, 732, 408?

GCD of 645, 762, 732, 408 is 3

2. Where do I get the detailed procedure to find GCD of 645, 762, 732, 408?

You can find a detailed procedure to find GCD of 645, 762, 732, 408 on our page.

3. How to find GCD of 645, 762, 732, 408 on a calculator?

You can find the GCD of 645, 762, 732, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.