GCD of 160, 413, 730, 296 Calculator

Given Input numbers are 160, 413, 730, 296

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

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 160, 413, 730, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 413, 730, 296 is 1.

Therefore, GCD of numbers 160, 413, 730, 296 is 1

Given Input Data is 160, 413, 730, 296

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

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(160, 413) = 66080

GCD(160, 413) = ( 160 x 413 ) / 66080

GCD(160, 413) = 66080 / 66080

GCD(160, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

GCD of 160, 413, 730, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 624, 150, 407
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• GCD of 719, 969, 682, 476
• GCD of 598, 155, 282, 914
• GCD of 663, 741, 235, 414

1. What is the GCD of 160, 413, 730, 296?

GCD of 160, 413, 730, 296 is 1

2. Where do I get the detailed procedure to find GCD of 160, 413, 730, 296?

You can find a detailed procedure to find GCD of 160, 413, 730, 296 on our page.

3. How to find GCD of 160, 413, 730, 296 on a calculator?

You can find the GCD of 160, 413, 730, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.