GCD of 645, 672, 763, 766 Calculator

Given Input numbers are 645, 672, 763, 766

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 645, 672, 763, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 672, 763, 766 is 1.

Therefore, GCD of numbers 645, 672, 763, 766 is 1

Given Input Data is 645, 672, 763, 766

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 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 763 is 7 x 109

Prime Factorization of 766 is 2 x 383

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(645, 672) = 144480

GCD(645, 672) = ( 645 x 672 ) / 144480

GCD(645, 672) = 433440 / 144480

GCD(645, 672) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 763

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

LCM(3, 763) = 2289

GCD(3, 763) = ( 3 x 763 ) / 2289

GCD(3, 763) = 2289 / 2289

GCD(3, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 645, 672, 763, 766 is 1

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1. What is the GCD of 645, 672, 763, 766?

GCD of 645, 672, 763, 766 is 1

2. Where do I get the detailed procedure to find GCD of 645, 672, 763, 766?

You can find a detailed procedure to find GCD of 645, 672, 763, 766 on our page.

3. How to find GCD of 645, 672, 763, 766 on a calculator?

You can find the GCD of 645, 672, 763, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.