GCD of 657, 225, 267, 674 Calculator

Given Input numbers are 657, 225, 267, 674

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 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 657, 225, 267, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 225, 267, 674 is 1.

Therefore, GCD of numbers 657, 225, 267, 674 is 1

Given Input Data is 657, 225, 267, 674

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 225 is 3 x 3 x 5 x 5

Prime Factorization of 267 is 3 x 89

Prime Factorization of 674 is 2 x 337

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(657, 225) = 16425

GCD(657, 225) = ( 657 x 225 ) / 16425

GCD(657, 225) = 147825 / 16425

GCD(657, 225) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 267

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

LCM(9, 267) = 801

GCD(9, 267) = ( 9 x 267 ) / 801

GCD(9, 267) = 2403 / 801

GCD(9, 267) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 674

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

LCM(3, 674) = 2022

GCD(3, 674) = ( 3 x 674 ) / 2022

GCD(3, 674) = 2022 / 2022

GCD(3, 674) = 1

GCD of 657, 225, 267, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 756, 881, 644
• GCD of 145, 980, 520, 316
• GCD of 773, 762, 581, 375
• GCD of 662, 331, 120, 875
• GCD of 904, 943, 330, 552

1. What is the GCD of 657, 225, 267, 674?

GCD of 657, 225, 267, 674 is 1

2. Where do I get the detailed procedure to find GCD of 657, 225, 267, 674?

You can find a detailed procedure to find GCD of 657, 225, 267, 674 on our page.

3. How to find GCD of 657, 225, 267, 674 on a calculator?

You can find the GCD of 657, 225, 267, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.