GCD of 657, 180, 354, 744 Calculator

Given Input numbers are 657, 180, 354, 744

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

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 657, 180, 354, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 180, 354, 744 is 3.

Therefore, GCD of numbers 657, 180, 354, 744 is 3

Given Input Data is 657, 180, 354, 744

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(657, 180) = 13140

GCD(657, 180) = ( 657 x 180 ) / 13140

GCD(657, 180) = 118260 / 13140

GCD(657, 180) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 354

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

LCM(9, 354) = 1062

GCD(9, 354) = ( 9 x 354 ) / 1062

GCD(9, 354) = 3186 / 1062

GCD(9, 354) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 744

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

LCM(3, 744) = 744

GCD(3, 744) = ( 3 x 744 ) / 744

GCD(3, 744) = 2232 / 744

GCD(3, 744) = 3

GCD of 657, 180, 354, 744 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 673, 604, 592
• GCD of 150, 990, 144, 496
• GCD of 771, 511, 435, 571
• GCD of 355, 677, 535, 251
• GCD of 591, 174, 817, 960

1. What is the GCD of 657, 180, 354, 744?

GCD of 657, 180, 354, 744 is 3

2. Where do I get the detailed procedure to find GCD of 657, 180, 354, 744?

You can find a detailed procedure to find GCD of 657, 180, 354, 744 on our page.

3. How to find GCD of 657, 180, 354, 744 on a calculator?

You can find the GCD of 657, 180, 354, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.