GCD of 160, 785, 523, 360 Calculator

Given Input numbers are 160, 785, 523, 360

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 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 160, 785, 523, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 785, 523, 360 is 1.

Therefore, GCD of numbers 160, 785, 523, 360 is 1

Given Input Data is 160, 785, 523, 360

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 785 is 5 x 157

Prime Factorization of 523 is 523

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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, 785) = 25120

GCD(160, 785) = ( 160 x 785 ) / 25120

GCD(160, 785) = 125600 / 25120

GCD(160, 785) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 523

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

LCM(5, 523) = 2615

GCD(5, 523) = ( 5 x 523 ) / 2615

GCD(5, 523) = 2615 / 2615

GCD(5, 523) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

GCD of 160, 785, 523, 360 is 1

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• GCD of 341, 584, 456, 102
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1. What is the GCD of 160, 785, 523, 360?

GCD of 160, 785, 523, 360 is 1

2. Where do I get the detailed procedure to find GCD of 160, 785, 523, 360?

You can find a detailed procedure to find GCD of 160, 785, 523, 360 on our page.

3. How to find GCD of 160, 785, 523, 360 on a calculator?

You can find the GCD of 160, 785, 523, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.