GCD of 645, 138, 718, 692 Calculator

Given Input numbers are 645, 138, 718, 692

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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 645, 138, 718, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 138, 718, 692 is 1.

Therefore, GCD of numbers 645, 138, 718, 692 is 1

Given Input Data is 645, 138, 718, 692

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 138 is 2 x 3 x 23

Prime Factorization of 718 is 2 x 359

Prime Factorization of 692 is 2 x 2 x 173

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, 138) = 29670

GCD(645, 138) = ( 645 x 138 ) / 29670

GCD(645, 138) = 89010 / 29670

GCD(645, 138) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 718

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

LCM(3, 718) = 2154

GCD(3, 718) = ( 3 x 718 ) / 2154

GCD(3, 718) = 2154 / 2154

GCD(3, 718) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 645, 138, 718, 692 is 1

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1. What is the GCD of 645, 138, 718, 692?

GCD of 645, 138, 718, 692 is 1

2. Where do I get the detailed procedure to find GCD of 645, 138, 718, 692?

You can find a detailed procedure to find GCD of 645, 138, 718, 692 on our page.

3. How to find GCD of 645, 138, 718, 692 on a calculator?

You can find the GCD of 645, 138, 718, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.