GCD of 160, 445, 490, 713 Calculator

Given Input numbers are 160, 445, 490, 713

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 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 160, 445, 490, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 445, 490, 713 is 1.

Therefore, GCD of numbers 160, 445, 490, 713 is 1

Given Input Data is 160, 445, 490, 713

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 445 is 5 x 89

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 713 is 23 x 31

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, 445) = 14240

GCD(160, 445) = ( 160 x 445 ) / 14240

GCD(160, 445) = 71200 / 14240

GCD(160, 445) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 490

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

LCM(5, 490) = 490

GCD(5, 490) = ( 5 x 490 ) / 490

GCD(5, 490) = 2450 / 490

GCD(5, 490) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 713

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

LCM(5, 713) = 3565

GCD(5, 713) = ( 5 x 713 ) / 3565

GCD(5, 713) = 3565 / 3565

GCD(5, 713) = 1

GCD of 160, 445, 490, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 516, 190, 515
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• GCD of 647, 617, 850, 451
• GCD of 212, 148, 924, 453
• GCD of 541, 311, 909, 900

1. What is the GCD of 160, 445, 490, 713?

GCD of 160, 445, 490, 713 is 1

2. Where do I get the detailed procedure to find GCD of 160, 445, 490, 713?

You can find a detailed procedure to find GCD of 160, 445, 490, 713 on our page.

3. How to find GCD of 160, 445, 490, 713 on a calculator?

You can find the GCD of 160, 445, 490, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.