GCD of 160, 780, 457, 380 Calculator

Given Input numbers are 160, 780, 457, 380

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 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 160, 780, 457, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 780, 457, 380 is 1.

Therefore, GCD of numbers 160, 780, 457, 380 is 1

Given Input Data is 160, 780, 457, 380

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 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 457 is 457

Prime Factorization of 380 is 2 x 2 x 5 x 19

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, 780) = 6240

GCD(160, 780) = ( 160 x 780 ) / 6240

GCD(160, 780) = 124800 / 6240

GCD(160, 780) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 457

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

LCM(20, 457) = 9140

GCD(20, 457) = ( 20 x 457 ) / 9140

GCD(20, 457) = 9140 / 9140

GCD(20, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 160, 780, 457, 380 is 1

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• GCD of 149, 443, 482, 750

1. What is the GCD of 160, 780, 457, 380?

GCD of 160, 780, 457, 380 is 1

2. Where do I get the detailed procedure to find GCD of 160, 780, 457, 380?

You can find a detailed procedure to find GCD of 160, 780, 457, 380 on our page.

3. How to find GCD of 160, 780, 457, 380 on a calculator?

You can find the GCD of 160, 780, 457, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.