GCD of 645, 762, 977, 812 Calculator

Given Input numbers are 645, 762, 977, 812

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 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 645, 762, 977, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 762, 977, 812 is 1.

Therefore, GCD of numbers 645, 762, 977, 812 is 1

Given Input Data is 645, 762, 977, 812

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 977 is 977

Prime Factorization of 812 is 2 x 2 x 7 x 29

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, 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 977

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

LCM(3, 977) = 2931

GCD(3, 977) = ( 3 x 977 ) / 2931

GCD(3, 977) = 2931 / 2931

GCD(3, 977) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 645, 762, 977, 812 is 1

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1. What is the GCD of 645, 762, 977, 812?

GCD of 645, 762, 977, 812 is 1

2. Where do I get the detailed procedure to find GCD of 645, 762, 977, 812?

You can find a detailed procedure to find GCD of 645, 762, 977, 812 on our page.

3. How to find GCD of 645, 762, 977, 812 on a calculator?

You can find the GCD of 645, 762, 977, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.