GCD of 205, 160, 121, 724 Calculator

Given Input numbers are 205, 160, 121, 724

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

Divisors of 205

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

1, 5, 41, 205

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 205, 160, 121, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 160, 121, 724 is 1.

Therefore, GCD of numbers 205, 160, 121, 724 is 1

Given Input Data is 205, 160, 121, 724

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 121 is 11 x 11

Prime Factorization of 724 is 2 x 2 x 181

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(205, 160) = 6560

GCD(205, 160) = ( 205 x 160 ) / 6560

GCD(205, 160) = 32800 / 6560

GCD(205, 160) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 121

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

LCM(5, 121) = 605

GCD(5, 121) = ( 5 x 121 ) / 605

GCD(5, 121) = 605 / 605

GCD(5, 121) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 205, 160, 121, 724 is 1

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• GCD of 776, 894, 562, 176
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1. What is the GCD of 205, 160, 121, 724?

GCD of 205, 160, 121, 724 is 1

2. Where do I get the detailed procedure to find GCD of 205, 160, 121, 724?

You can find a detailed procedure to find GCD of 205, 160, 121, 724 on our page.

3. How to find GCD of 205, 160, 121, 724 on a calculator?

You can find the GCD of 205, 160, 121, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.