GCD of 519, 971, 160, 162 Calculator

Given Input numbers are 519, 971, 160, 162

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

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

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 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 519, 971, 160, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 519, 971, 160, 162 is 1.

Therefore, GCD of numbers 519, 971, 160, 162 is 1

Given Input Data is 519, 971, 160, 162

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

Prime Factorization of 519 is 3 x 173

Prime Factorization of 971 is 971

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(519, 971) = 503949

GCD(519, 971) = ( 519 x 971 ) / 503949

GCD(519, 971) = 503949 / 503949

GCD(519, 971) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 519, 971, 160, 162 is 1

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1. What is the GCD of 519, 971, 160, 162?

GCD of 519, 971, 160, 162 is 1

2. Where do I get the detailed procedure to find GCD of 519, 971, 160, 162?

You can find a detailed procedure to find GCD of 519, 971, 160, 162 on our page.

3. How to find GCD of 519, 971, 160, 162 on a calculator?

You can find the GCD of 519, 971, 160, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.