GCD of 919, 520, 791, 160 Calculator

Given Input numbers are 919, 520, 791, 160

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

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

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

Greatest Common Divisior

We found the divisors of 919, 520, 791, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 919, 520, 791, 160 is 1.

Therefore, GCD of numbers 919, 520, 791, 160 is 1

Given Input Data is 919, 520, 791, 160

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

Prime Factorization of 919 is 919

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 791 is 7 x 113

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 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(919, 520) = 477880

GCD(919, 520) = ( 919 x 520 ) / 477880

GCD(919, 520) = 477880 / 477880

GCD(919, 520) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 919, 520, 791, 160 is 1

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1. What is the GCD of 919, 520, 791, 160?

GCD of 919, 520, 791, 160 is 1

2. Where do I get the detailed procedure to find GCD of 919, 520, 791, 160?

You can find a detailed procedure to find GCD of 919, 520, 791, 160 on our page.

3. How to find GCD of 919, 520, 791, 160 on a calculator?

You can find the GCD of 919, 520, 791, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.