GCD of 441, 465, 674, 271 Calculator

Given Input numbers are 441, 465, 674, 271

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

Divisors of 441

List of positive integer divisors of 441 that divides 441 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 674

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

1, 2, 337, 674

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 441, 465, 674, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 465, 674, 271 is 1.

Therefore, GCD of numbers 441, 465, 674, 271 is 1

Given Input Data is 441, 465, 674, 271

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

Prime Factorization of 441 is 3 x 3 x 7 x 7

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 674 is 2 x 337

Prime Factorization of 271 is 271

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(441, 465) = 68355

GCD(441, 465) = ( 441 x 465 ) / 68355

GCD(441, 465) = 205065 / 68355

GCD(441, 465) = 3

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 441, 465, 674, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 131, 174, 591
• GCD of 767, 867, 615, 154
• GCD of 748, 436, 634, 106
• GCD of 891, 833, 768, 802
• GCD of 271, 730, 772, 234

1. What is the GCD of 441, 465, 674, 271?

GCD of 441, 465, 674, 271 is 1

2. Where do I get the detailed procedure to find GCD of 441, 465, 674, 271?

You can find a detailed procedure to find GCD of 441, 465, 674, 271 on our page.

3. How to find GCD of 441, 465, 674, 271 on a calculator?

You can find the GCD of 441, 465, 674, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.