GCD of 645, 748, 51, 280 Calculator

Given Input numbers are 645, 748, 51, 280

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 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Greatest Common Divisior

We found the divisors of 645, 748, 51, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 748, 51, 280 is 1.

Therefore, GCD of numbers 645, 748, 51, 280 is 1

Given Input Data is 645, 748, 51, 280

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 748 is 2 x 2 x 11 x 17

Prime Factorization of 51 is 3 x 17

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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, 748) = 482460

GCD(645, 748) = ( 645 x 748 ) / 482460

GCD(645, 748) = 482460 / 482460

GCD(645, 748) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 1

GCD of 645, 748, 51, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 410, 74, 574
• GCD of 940, 232, 93, 838
• GCD of 686, 271, 89, 895
• GCD of 139, 707, 16, 604
• GCD of 133, 870, 39, 380

1. What is the GCD of 645, 748, 51, 280?

GCD of 645, 748, 51, 280 is 1

2. Where do I get the detailed procedure to find GCD of 645, 748, 51, 280?

You can find a detailed procedure to find GCD of 645, 748, 51, 280 on our page.

3. How to find GCD of 645, 748, 51, 280 on a calculator?

You can find the GCD of 645, 748, 51, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.