GCD of 467, 205, 28, 745 Calculator

Given Input numbers are 467, 205, 28, 745

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

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 467, 205, 28, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 467, 205, 28, 745 is 1.

Therefore, GCD of numbers 467, 205, 28, 745 is 1

Given Input Data is 467, 205, 28, 745

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

Prime Factorization of 467 is 467

Prime Factorization of 205 is 5 x 41

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 745 is 5 x 149

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(467, 205) = 95735

GCD(467, 205) = ( 467 x 205 ) / 95735

GCD(467, 205) = 95735 / 95735

GCD(467, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 467, 205, 28, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 153, 43, 497
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• GCD of 387, 830, 18, 432
• GCD of 983, 744, 29, 977
• GCD of 595, 213, 58, 965

1. What is the GCD of 467, 205, 28, 745?

GCD of 467, 205, 28, 745 is 1

2. Where do I get the detailed procedure to find GCD of 467, 205, 28, 745?

You can find a detailed procedure to find GCD of 467, 205, 28, 745 on our page.

3. How to find GCD of 467, 205, 28, 745 on a calculator?

You can find the GCD of 467, 205, 28, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.