GCD of 270, 645, 651, 749 Calculator

Given Input numbers are 270, 645, 651, 749

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 270, 645, 651, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 645, 651, 749 is 1.

Therefore, GCD of numbers 270, 645, 651, 749 is 1

Given Input Data is 270, 645, 651, 749

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 749 is 7 x 107

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(270, 645) = 11610

GCD(270, 645) = ( 270 x 645 ) / 11610

GCD(270, 645) = 174150 / 11610

GCD(270, 645) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 651

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

LCM(15, 651) = 3255

GCD(15, 651) = ( 15 x 651 ) / 3255

GCD(15, 651) = 9765 / 3255

GCD(15, 651) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 749

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

LCM(3, 749) = 2247

GCD(3, 749) = ( 3 x 749 ) / 2247

GCD(3, 749) = 2247 / 2247

GCD(3, 749) = 1

GCD of 270, 645, 651, 749 is 1

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1. What is the GCD of 270, 645, 651, 749?

GCD of 270, 645, 651, 749 is 1

2. Where do I get the detailed procedure to find GCD of 270, 645, 651, 749?

You can find a detailed procedure to find GCD of 270, 645, 651, 749 on our page.

3. How to find GCD of 270, 645, 651, 749 on a calculator?

You can find the GCD of 270, 645, 651, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.