GCD of 708, 657, 645 Calculator

Given Input numbers are 708, 657, 645

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 708, 657, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 657, 645 is 3.

Therefore, GCD of numbers 708, 657, 645 is 3

Given Input Data is 708, 657, 645

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 645 is 3 x 5 x 43

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(708, 657) = 155052

GCD(708, 657) = ( 708 x 657 ) / 155052

GCD(708, 657) = 465156 / 155052

GCD(708, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 645

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

LCM(3, 645) = 645

GCD(3, 645) = ( 3 x 645 ) / 645

GCD(3, 645) = 1935 / 645

GCD(3, 645) = 3

GCD of 708, 657, 645 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 902, 731
• GCD of 532, 303, 511
• GCD of 336, 638, 367
• GCD of 800, 864, 651
• GCD of 625, 532, 325

1. What is the GCD of 708, 657, 645?

GCD of 708, 657, 645 is 3

2. Where do I get the detailed procedure to find GCD of 708, 657, 645?

You can find a detailed procedure to find GCD of 708, 657, 645 on our page.

3. How to find GCD of 708, 657, 645 on a calculator?

You can find the GCD of 708, 657, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.